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Finding the Fourth Proportional to 60,960, 84,136.32 and 34,464

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Solution

The fourth proportional to 60,960, 84,136.32 and 34,464 is: 47,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,960 : 84,136.32 = 34,464 : x
  2. Step 2: Convert to fraction form
    60,960/84,136.32 = 34,464/x
  3. Step 3: Cross multiply
    60,960x = 84,136.32 × 34,464
  4. Step 4: Simplify right side
    60,960x = 2,899,674,132.48
  5. Step 5: Solve for x
    x = 2,899,674,132.48/60,960
  6. Step 6: Final answer
    x = 47,566.83

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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.