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Finding the Fourth Proportional to 47,873.84, 71,779.91 and 22,913.28

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Solution

The fourth proportional to 47,873.84, 71,779.91 and 22,913.28 is: 34,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,873.84 : 71,779.91 = 22,913.28 : x
  2. Step 2: Convert to fraction form
    47,873.84/71,779.91 = 22,913.28/x
  3. Step 3: Cross multiply
    47,873.84x = 71,779.91 × 22,913.28
  4. Step 4: Simplify right side
    47,873.84x = 1,644,713,061.64
  5. Step 5: Solve for x
    x = 1,644,713,061.64/47,873.84
  6. Step 6: Final answer
    x = 34,355.16

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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.