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Finding the Fourth Proportional to 73,340.34, 109,824.33 and 61,462.86

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Solution

The fourth proportional to 73,340.34, 109,824.33 and 61,462.86 is: 92,038.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,340.34 : 109,824.33 = 61,462.86 : x
  2. Step 2: Convert to fraction form
    73,340.34/109,824.33 = 61,462.86/x
  3. Step 3: Cross multiply
    73,340.34x = 109,824.33 × 61,462.86
  4. Step 4: Simplify right side
    73,340.34x = 6,750,117,419.38
  5. Step 5: Solve for x
    x = 6,750,117,419.38/73,340.34
  6. Step 6: Final answer
    x = 92,038.26

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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.