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Finding the Fourth Proportional to 47,399, 65,429.70 and 32,306.90

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Solution

The fourth proportional to 47,399, 65,429.70 and 32,306.90 is: 44,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,399 : 65,429.70 = 32,306.90 : x
  2. Step 2: Convert to fraction form
    47,399/65,429.70 = 32,306.90/x
  3. Step 3: Cross multiply
    47,399x = 65,429.70 × 32,306.90
  4. Step 4: Simplify right side
    47,399x = 2,113,830,774.93
  5. Step 5: Solve for x
    x = 2,113,830,774.93/47,399
  6. Step 6: Final answer
    x = 44,596.53

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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.