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Finding the Fourth Proportional to 123,565.53, 185,370.16 and 46,626.87

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Solution

The fourth proportional to 123,565.53, 185,370.16 and 46,626.87 is: 69,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,565.53 : 185,370.16 = 46,626.87 : x
  2. Step 2: Convert to fraction form
    123,565.53/185,370.16 = 46,626.87/x
  3. Step 3: Cross multiply
    123,565.53x = 185,370.16 × 46,626.87
  4. Step 4: Simplify right side
    123,565.53x = 8,643,230,235.63
  5. Step 5: Solve for x
    x = 8,643,230,235.63/123,565.53
  6. Step 6: Final answer
    x = 69,948.55

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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.