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Finding the Fourth Proportional to 60,565.64, 83,509.06 and 41,454.64

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Solution

The fourth proportional to 60,565.64, 83,509.06 and 41,454.64 is: 57,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,565.64 : 83,509.06 = 41,454.64 : x
  2. Step 2: Convert to fraction form
    60,565.64/83,509.06 = 41,454.64/x
  3. Step 3: Cross multiply
    60,565.64x = 83,509.06 × 41,454.64
  4. Step 4: Simplify right side
    60,565.64x = 3,461,838,019.04
  5. Step 5: Solve for x
    x = 3,461,838,019.04/60,565.64
  6. Step 6: Final answer
    x = 57,158.45

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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.