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Finding the Fourth Proportional to 38,594.70, 57,897.45 and 16,407.90

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Solution

The fourth proportional to 38,594.70, 57,897.45 and 16,407.90 is: 24,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594.70 : 57,897.45 = 16,407.90 : x
  2. Step 2: Convert to fraction form
    38,594.70/57,897.45 = 16,407.90/x
  3. Step 3: Cross multiply
    38,594.70x = 57,897.45 × 16,407.90
  4. Step 4: Simplify right side
    38,594.70x = 949,975,569.86
  5. Step 5: Solve for x
    x = 949,975,569.86/38,594.70
  6. Step 6: Final answer
    x = 24,614.15

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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.