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Finding the Fourth Proportional to 38,733, 58,099.50 and 9,549

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Solution

The fourth proportional to 38,733, 58,099.50 and 9,549 is: 14,323.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733 : 58,099.50 = 9,549 : x
  2. Step 2: Convert to fraction form
    38,733/58,099.50 = 9,549/x
  3. Step 3: Cross multiply
    38,733x = 58,099.50 × 9,549
  4. Step 4: Simplify right side
    38,733x = 554,792,125.50
  5. Step 5: Solve for x
    x = 554,792,125.50/38,733
  6. Step 6: Final answer
    x = 14,323.50

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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.