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Finding the Fourth Proportional to 92,041.38, 138,164.58 and 47,656.22

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Solution

The fourth proportional to 92,041.38, 138,164.58 and 47,656.22 is: 71,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,041.38 : 138,164.58 = 47,656.22 : x
  2. Step 2: Convert to fraction form
    92,041.38/138,164.58 = 47,656.22/x
  3. Step 3: Cross multiply
    92,041.38x = 138,164.58 × 47,656.22
  4. Step 4: Simplify right side
    92,041.38x = 6,584,400,929.86
  5. Step 5: Solve for x
    x = 6,584,400,929.86/92,041.38
  6. Step 6: Final answer
    x = 71,537.40

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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.