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Finding the Fourth Proportional to 61,097.57, 84,290.59 and 38,114.02

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Solution

The fourth proportional to 61,097.57, 84,290.59 and 38,114.02 is: 52,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,097.57 : 84,290.59 = 38,114.02 : x
  2. Step 2: Convert to fraction form
    61,097.57/84,290.59 = 38,114.02/x
  3. Step 3: Cross multiply
    61,097.57x = 84,290.59 × 38,114.02
  4. Step 4: Simplify right side
    61,097.57x = 3,212,652,621.05
  5. Step 5: Solve for x
    x = 3,212,652,621.05/61,097.57
  6. Step 6: Final answer
    x = 52,582.33

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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.