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Finding the Fourth Proportional to 37,280, 55,878.96 and 15,079.52

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Solution

The fourth proportional to 37,280, 55,878.96 and 15,079.52 is: 22,602.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,280 : 55,878.96 = 15,079.52 : x
  2. Step 2: Convert to fraction form
    37,280/55,878.96 = 15,079.52/x
  3. Step 3: Cross multiply
    37,280x = 55,878.96 × 15,079.52
  4. Step 4: Simplify right side
    37,280x = 842,627,894.90
  5. Step 5: Solve for x
    x = 842,627,894.90/37,280
  6. Step 6: Final answer
    x = 22,602.68

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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.