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Finding the Fourth Proportional to 71,585.16, 98,788.71 and 39,322.77

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Solution

The fourth proportional to 71,585.16, 98,788.71 and 39,322.77 is: 54,266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585.16 : 98,788.71 = 39,322.77 : x
  2. Step 2: Convert to fraction form
    71,585.16/98,788.71 = 39,322.77/x
  3. Step 3: Cross multiply
    71,585.16x = 98,788.71 × 39,322.77
  4. Step 4: Simplify right side
    71,585.16x = 3,884,645,869.39
  5. Step 5: Solve for x
    x = 3,884,645,869.39/71,585.16
  6. Step 6: Final answer
    x = 54,266.08

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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.