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Finding the Fourth Proportional to 42,184, 63,276.10 and 12,599.52

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Solution

The fourth proportional to 42,184, 63,276.10 and 12,599.52 is: 18,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,184 : 63,276.10 = 12,599.52 : x
  2. Step 2: Convert to fraction form
    42,184/63,276.10 = 12,599.52/x
  3. Step 3: Cross multiply
    42,184x = 63,276.10 × 12,599.52
  4. Step 4: Simplify right side
    42,184x = 797,248,487.47
  5. Step 5: Solve for x
    x = 797,248,487.47/42,184
  6. Step 6: Final answer
    x = 18,899.31

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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.