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Finding the Fourth Proportional to 65,092.90, 97,624.76 and 31,792.18

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Solution

The fourth proportional to 65,092.90, 97,624.76 and 31,792.18 is: 47,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,092.90 : 97,624.76 = 31,792.18 : x
  2. Step 2: Convert to fraction form
    65,092.90/97,624.76 = 31,792.18/x
  3. Step 3: Cross multiply
    65,092.90x = 97,624.76 × 31,792.18
  4. Step 4: Simplify right side
    65,092.90x = 3,103,703,942.38
  5. Step 5: Solve for x
    x = 3,103,703,942.38/65,092.90
  6. Step 6: Final answer
    x = 47,681.14

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1.5x scale

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.