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Finding the Fourth Proportional to 71,482.32, 98,646.08 and 39,651.75

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Solution

The fourth proportional to 71,482.32, 98,646.08 and 39,651.75 is: 54,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,482.32 : 98,646.08 = 39,651.75 : x
  2. Step 2: Convert to fraction form
    71,482.32/98,646.08 = 39,651.75/x
  3. Step 3: Cross multiply
    71,482.32x = 98,646.08 × 39,651.75
  4. Step 4: Simplify right side
    71,482.32x = 3,911,489,504.38
  5. Step 5: Solve for x
    x = 3,911,489,504.38/71,482.32
  6. Step 6: Final answer
    x = 54,719.68

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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.