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Finding the Fourth Proportional to 52,677.68, 72,702.03 and 30,024.81

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Solution

The fourth proportional to 52,677.68, 72,702.03 and 30,024.81 is: 41,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,677.68 : 72,702.03 = 30,024.81 : x
  2. Step 2: Convert to fraction form
    52,677.68/72,702.03 = 30,024.81/x
  3. Step 3: Cross multiply
    52,677.68x = 72,702.03 × 30,024.81
  4. Step 4: Simplify right side
    52,677.68x = 2,182,864,637.36
  5. Step 5: Solve for x
    x = 2,182,864,637.36/52,677.68
  6. Step 6: Final answer
    x = 41,438.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.