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Finding the Fourth Proportional to 65,136.91, 97,557.74 and 51,008.89

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Solution

The fourth proportional to 65,136.91, 97,557.74 and 51,008.89 is: 76,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136.91 : 97,557.74 = 51,008.89 : x
  2. Step 2: Convert to fraction form
    65,136.91/97,557.74 = 51,008.89/x
  3. Step 3: Cross multiply
    65,136.91x = 97,557.74 × 51,008.89
  4. Step 4: Simplify right side
    65,136.91x = 4,976,312,047.04
  5. Step 5: Solve for x
    x = 4,976,312,047.04/65,136.91
  6. Step 6: Final answer
    x = 76,397.73

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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.