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Finding the Fourth Proportional to 31,834,513.20, 47,751,769.80 and 31,834,513.20

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Solution

The fourth proportional to 31,834,513.20, 47,751,769.80 and 31,834,513.20 is: 47,751,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,834,513.20 : 47,751,769.80 = 31,834,513.20 : x
  2. Step 2: Convert to fraction form
    31,834,513.20/47,751,769.80 = 31,834,513.20/x
  3. Step 3: Cross multiply
    31,834,513.20x = 47,751,769.80 × 31,834,513.20
  4. Step 4: Simplify right side
    31,834,513.20x = 1,520,154,346,021,461.25
  5. Step 5: Solve for x
    x = 1,520,154,346,021,461.25/31,834,513.20
  6. Step 6: Final answer
    x = 47,751,769.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.