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Finding the Fourth Proportional to 69,136.88, 103,792.84 and 42,417.20

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Solution

The fourth proportional to 69,136.88, 103,792.84 and 42,417.20 is: 63,679.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,136.88 : 103,792.84 = 42,417.20 : x
  2. Step 2: Convert to fraction form
    69,136.88/103,792.84 = 42,417.20/x
  3. Step 3: Cross multiply
    69,136.88x = 103,792.84 × 42,417.20
  4. Step 4: Simplify right side
    69,136.88x = 4,402,601,806.29
  5. Step 5: Solve for x
    x = 4,402,601,806.29/69,136.88
  6. Step 6: Final answer
    x = 63,679.50

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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.