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Finding the Fourth Proportional to 41,032, 61,547.88 and 31,685.68

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Solution

The fourth proportional to 41,032, 61,547.88 and 31,685.68 is: 47,528.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,032 : 61,547.88 = 31,685.68 : x
  2. Step 2: Convert to fraction form
    41,032/61,547.88 = 31,685.68/x
  3. Step 3: Cross multiply
    41,032x = 61,547.88 × 31,685.68
  4. Step 4: Simplify right side
    41,032x = 1,950,186,430.36
  5. Step 5: Solve for x
    x = 1,950,186,430.36/41,032
  6. Step 6: Final answer
    x = 47,528.43

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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.