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Finding the Fourth Proportional to 31,374.52, 47,023.50 and 24,009.80

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Solution

The fourth proportional to 31,374.52, 47,023.50 and 24,009.80 is: 35,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,374.52 : 47,023.50 = 24,009.80 : x
  2. Step 2: Convert to fraction form
    31,374.52/47,023.50 = 24,009.80/x
  3. Step 3: Cross multiply
    31,374.52x = 47,023.50 × 24,009.80
  4. Step 4: Simplify right side
    31,374.52x = 1,129,024,830.30
  5. Step 5: Solve for x
    x = 1,129,024,830.30/31,374.52
  6. Step 6: Final answer
    x = 35,985.41

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1.5x scale

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.