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Finding the Fourth Proportional to 61,854.25, 92,658.49 and 30,594.09

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Solution

The fourth proportional to 61,854.25, 92,658.49 and 30,594.09 is: 45,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,854.25 : 92,658.49 = 30,594.09 : x
  2. Step 2: Convert to fraction form
    61,854.25/92,658.49 = 30,594.09/x
  3. Step 3: Cross multiply
    61,854.25x = 92,658.49 × 30,594.09
  4. Step 4: Simplify right side
    61,854.25x = 2,834,802,182.32
  5. Step 5: Solve for x
    x = 2,834,802,182.32/61,854.25
  6. Step 6: Final answer
    x = 45,830.35

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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.