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Finding the Fourth Proportional to 52,438, 72,368.40 and 32,289.88

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Solution

The fourth proportional to 52,438, 72,368.40 and 32,289.88 is: 44,562.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438 : 72,368.40 = 32,289.88 : x
  2. Step 2: Convert to fraction form
    52,438/72,368.40 = 32,289.88/x
  3. Step 3: Cross multiply
    52,438x = 72,368.40 × 32,289.88
  4. Step 4: Simplify right side
    52,438x = 2,336,766,951.79
  5. Step 5: Solve for x
    x = 2,336,766,951.79/52,438
  6. Step 6: Final answer
    x = 44,562.47

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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.