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Finding the Fourth Proportional to 32,002.90, 47,917.95 and 32,002.90

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Solution

The fourth proportional to 32,002.90, 47,917.95 and 32,002.90 is: 47,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,002.90 : 47,917.95 = 32,002.90 : x
  2. Step 2: Convert to fraction form
    32,002.90/47,917.95 = 32,002.90/x
  3. Step 3: Cross multiply
    32,002.90x = 47,917.95 × 32,002.90
  4. Step 4: Simplify right side
    32,002.90x = 1,533,513,362.06
  5. Step 5: Solve for x
    x = 1,533,513,362.06/32,002.90
  6. Step 6: Final answer
    x = 47,917.95

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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.