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Finding the Fourth Proportional to 46,078, 63,565.32 and 40,100.20

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Solution

The fourth proportional to 46,078, 63,565.32 and 40,100.20 is: 55,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,078 : 63,565.32 = 40,100.20 : x
  2. Step 2: Convert to fraction form
    46,078/63,565.32 = 40,100.20/x
  3. Step 3: Cross multiply
    46,078x = 63,565.32 × 40,100.20
  4. Step 4: Simplify right side
    46,078x = 2,548,982,045.06
  5. Step 5: Solve for x
    x = 2,548,982,045.06/46,078
  6. Step 6: Final answer
    x = 55,318.85

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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.