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Finding the Fourth Proportional to 37,656.40, 56,468.40 and 18,929.20

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Solution

The fourth proportional to 37,656.40, 56,468.40 and 18,929.20 is: 28,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,656.40 : 56,468.40 = 18,929.20 : x
  2. Step 2: Convert to fraction form
    37,656.40/56,468.40 = 18,929.20/x
  3. Step 3: Cross multiply
    37,656.40x = 56,468.40 × 18,929.20
  4. Step 4: Simplify right side
    37,656.40x = 1,068,901,637.28
  5. Step 5: Solve for x
    x = 1,068,901,637.28/37,656.40
  6. Step 6: Final answer
    x = 28,385.66

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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.