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Finding the Fourth Proportional to 61,405.74, 84,718.71 and 34,543.98

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Solution

The fourth proportional to 61,405.74, 84,718.71 and 34,543.98 is: 47,658.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,405.74 : 84,718.71 = 34,543.98 : x
  2. Step 2: Convert to fraction form
    61,405.74/84,718.71 = 34,543.98/x
  3. Step 3: Cross multiply
    61,405.74x = 84,718.71 × 34,543.98
  4. Step 4: Simplify right side
    61,405.74x = 2,926,521,423.87
  5. Step 5: Solve for x
    x = 2,926,521,423.87/61,405.74
  6. Step 6: Final answer
    x = 47,658.76

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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.