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Finding the Fourth Proportional to 31,665.60, 47,498.40 and 20,030.40

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Solution

The fourth proportional to 31,665.60, 47,498.40 and 20,030.40 is: 30,045.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.60 : 47,498.40 = 20,030.40 : x
  2. Step 2: Convert to fraction form
    31,665.60/47,498.40 = 20,030.40/x
  3. Step 3: Cross multiply
    31,665.60x = 47,498.40 × 20,030.40
  4. Step 4: Simplify right side
    31,665.60x = 951,411,951.36
  5. Step 5: Solve for x
    x = 951,411,951.36/31,665.60
  6. Step 6: Final answer
    x = 30,045.60

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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.