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Finding the Fourth Proportional to 48,547.73, 72,829.90 and 22,254.73

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Solution

The fourth proportional to 48,547.73, 72,829.90 and 22,254.73 is: 33,385.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,547.73 : 72,829.90 = 22,254.73 : x
  2. Step 2: Convert to fraction form
    48,547.73/72,829.90 = 22,254.73/x
  3. Step 3: Cross multiply
    48,547.73x = 72,829.90 × 22,254.73
  4. Step 4: Simplify right side
    48,547.73x = 1,620,809,760.43
  5. Step 5: Solve for x
    x = 1,620,809,760.43/48,547.73
  6. Step 6: Final answer
    x = 33,385.90

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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.