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Finding the Fourth Proportional to 83,547.68, 125,099.82 and 65,354.60

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Solution

The fourth proportional to 83,547.68, 125,099.82 and 65,354.60 is: 97,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,547.68 : 125,099.82 = 65,354.60 : x
  2. Step 2: Convert to fraction form
    83,547.68/125,099.82 = 65,354.60/x
  3. Step 3: Cross multiply
    83,547.68x = 125,099.82 × 65,354.60
  4. Step 4: Simplify right side
    83,547.68x = 8,175,848,696.17
  5. Step 5: Solve for x
    x = 8,175,848,696.17/83,547.68
  6. Step 6: Final answer
    x = 97,858.48

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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.