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Finding the Fourth Proportional to 97,535.34, 134,514.54 and 63,531

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Solution

The fourth proportional to 97,535.34, 134,514.54 and 63,531 is: 87,617.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,535.34 : 134,514.54 = 63,531 : x
  2. Step 2: Convert to fraction form
    97,535.34/134,514.54 = 63,531/x
  3. Step 3: Cross multiply
    97,535.34x = 134,514.54 × 63,531
  4. Step 4: Simplify right side
    97,535.34x = 8,545,843,240.74
  5. Step 5: Solve for x
    x = 8,545,843,240.74/97,535.34
  6. Step 6: Final answer
    x = 87,617.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.