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Finding the Fourth Proportional to 52,510.74, 72,461.97 and 30,154.74

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Solution

The fourth proportional to 52,510.74, 72,461.97 and 30,154.74 is: 41,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.74 : 72,461.97 = 30,154.74 : x
  2. Step 2: Convert to fraction form
    52,510.74/72,461.97 = 30,154.74/x
  3. Step 3: Cross multiply
    52,510.74x = 72,461.97 × 30,154.74
  4. Step 4: Simplify right side
    52,510.74x = 2,185,071,865.24
  5. Step 5: Solve for x
    x = 2,185,071,865.24/52,510.74
  6. Step 6: Final answer
    x = 41,611.90

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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.