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Finding the Fourth Proportional to 96,813.60, 145,191.60 and 37,615.20

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Solution

The fourth proportional to 96,813.60, 145,191.60 and 37,615.20 is: 56,411.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,813.60 : 145,191.60 = 37,615.20 : x
  2. Step 2: Convert to fraction form
    96,813.60/145,191.60 = 37,615.20/x
  3. Step 3: Cross multiply
    96,813.60x = 145,191.60 × 37,615.20
  4. Step 4: Simplify right side
    96,813.60x = 5,461,411,072.32
  5. Step 5: Solve for x
    x = 5,461,411,072.32/96,813.60
  6. Step 6: Final answer
    x = 56,411.61

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Why These Related Problems?

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