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Finding the Fourth Proportional to 73,478.64, 101,401.71 and 41,646.87

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Solution

The fourth proportional to 73,478.64, 101,401.71 and 41,646.87 is: 57,473.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,478.64 : 101,401.71 = 41,646.87 : x
  2. Step 2: Convert to fraction form
    73,478.64/101,401.71 = 41,646.87/x
  3. Step 3: Cross multiply
    73,478.64x = 101,401.71 × 41,646.87
  4. Step 4: Simplify right side
    73,478.64x = 4,223,063,834.15
  5. Step 5: Solve for x
    x = 4,223,063,834.15/73,478.64
  6. Step 6: Final answer
    x = 57,473.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.