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Finding the Fourth Proportional to 55,723.42, 83,488.02 and 46,423.20

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Solution

The fourth proportional to 55,723.42, 83,488.02 and 46,423.20 is: 69,553.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,723.42 : 83,488.02 = 46,423.20 : x
  2. Step 2: Convert to fraction form
    55,723.42/83,488.02 = 46,423.20/x
  3. Step 3: Cross multiply
    55,723.42x = 83,488.02 × 46,423.20
  4. Step 4: Simplify right side
    55,723.42x = 3,875,781,050.06
  5. Step 5: Solve for x
    x = 3,875,781,050.06/55,723.42
  6. Step 6: Final answer
    x = 69,553.90

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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.