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Finding the Fourth Proportional to 43,902, 65,853 and 12,737.52

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Solution

The fourth proportional to 43,902, 65,853 and 12,737.52 is: 19,106.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 65,853 = 12,737.52 : x
  2. Step 2: Convert to fraction form
    43,902/65,853 = 12,737.52/x
  3. Step 3: Cross multiply
    43,902x = 65,853 × 12,737.52
  4. Step 4: Simplify right side
    43,902x = 838,803,904.56
  5. Step 5: Solve for x
    x = 838,803,904.56/43,902
  6. Step 6: Final answer
    x = 19,106.28

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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.