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Finding the Fourth Proportional to 61,095.84, 91,648.02 and 25,543.74

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Solution

The fourth proportional to 61,095.84, 91,648.02 and 25,543.74 is: 38,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,095.84 : 91,648.02 = 25,543.74 : x
  2. Step 2: Convert to fraction form
    61,095.84/91,648.02 = 25,543.74/x
  3. Step 3: Cross multiply
    61,095.84x = 91,648.02 × 25,543.74
  4. Step 4: Simplify right side
    61,095.84x = 2,341,033,194.39
  5. Step 5: Solve for x
    x = 2,341,033,194.39/61,095.84
  6. Step 6: Final answer
    x = 38,317.39

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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.