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Finding the Fourth Proportional to 48,693.38, 72,984.72 and 20,595.90

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Solution

The fourth proportional to 48,693.38, 72,984.72 and 20,595.90 is: 30,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,693.38 : 72,984.72 = 20,595.90 : x
  2. Step 2: Convert to fraction form
    48,693.38/72,984.72 = 20,595.90/x
  3. Step 3: Cross multiply
    48,693.38x = 72,984.72 × 20,595.90
  4. Step 4: Simplify right side
    48,693.38x = 1,503,186,068.53
  5. Step 5: Solve for x
    x = 1,503,186,068.53/48,693.38
  6. Step 6: Final answer
    x = 30,870.44

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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.