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Finding the Fourth Proportional to 61,148.60, 84,389.12 and 34,292.84

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Solution

The fourth proportional to 61,148.60, 84,389.12 and 34,292.84 is: 47,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,148.60 : 84,389.12 = 34,292.84 : x
  2. Step 2: Convert to fraction form
    61,148.60/84,389.12 = 34,292.84/x
  3. Step 3: Cross multiply
    61,148.60x = 84,389.12 × 34,292.84
  4. Step 4: Simplify right side
    61,148.60x = 2,893,942,589.90
  5. Step 5: Solve for x
    x = 2,893,942,589.90/61,148.60
  6. Step 6: Final answer
    x = 47,326.39

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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.