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Finding the Fourth Proportional to 32,002.40, 47,906.40 and 28,503.20

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Solution

The fourth proportional to 32,002.40, 47,906.40 and 28,503.20 is: 42,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.40 : 47,906.40 = 28,503.20 : x
  2. Step 2: Convert to fraction form
    32,002.40/47,906.40 = 28,503.20/x
  3. Step 3: Cross multiply
    32,002.40x = 47,906.40 × 28,503.20
  4. Step 4: Simplify right side
    32,002.40x = 1,365,485,700.48
  5. Step 5: Solve for x
    x = 1,365,485,700.48/32,002.40
  6. Step 6: Final answer
    x = 42,668.23

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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.