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Finding the Fourth Proportional to 71,532, 98,714.16 and 46,381.68

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Solution

The fourth proportional to 71,532, 98,714.16 and 46,381.68 is: 64,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,532 : 98,714.16 = 46,381.68 : x
  2. Step 2: Convert to fraction form
    71,532/98,714.16 = 46,381.68/x
  3. Step 3: Cross multiply
    71,532x = 98,714.16 × 46,381.68
  4. Step 4: Simplify right side
    71,532x = 4,578,528,580.59
  5. Step 5: Solve for x
    x = 4,578,528,580.59/71,532
  6. Step 6: Final answer
    x = 64,006.72

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Why These Related Problems?

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