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Finding the Fourth Proportional to 47,248.64, 70,826.88 and 22,641.92

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Solution

The fourth proportional to 47,248.64, 70,826.88 and 22,641.92 is: 33,940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,248.64 : 70,826.88 = 22,641.92 : x
  2. Step 2: Convert to fraction form
    47,248.64/70,826.88 = 22,641.92/x
  3. Step 3: Cross multiply
    47,248.64x = 70,826.88 × 22,641.92
  4. Step 4: Simplify right side
    47,248.64x = 1,603,656,550.81
  5. Step 5: Solve for x
    x = 1,603,656,550.81/47,248.64
  6. Step 6: Final answer
    x = 33,940.80

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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.