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Finding the Fourth Proportional to 47,779.52, 71,657.76 and 14,947.52

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Solution

The fourth proportional to 47,779.52, 71,657.76 and 14,947.52 is: 22,417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.52 : 71,657.76 = 14,947.52 : x
  2. Step 2: Convert to fraction form
    47,779.52/71,657.76 = 14,947.52/x
  3. Step 3: Cross multiply
    47,779.52x = 71,657.76 × 14,947.52
  4. Step 4: Simplify right side
    47,779.52x = 1,071,105,800.76
  5. Step 5: Solve for x
    x = 1,071,105,800.76/47,779.52
  6. Step 6: Final answer
    x = 22,417.68

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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.