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Finding the Fourth Proportional to 52,510.53, 78,742.10 and 15,062.10

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Solution

The fourth proportional to 52,510.53, 78,742.10 and 15,062.10 is: 22,586.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,510.53 : 78,742.10 = 15,062.10 : x
  2. Step 2: Convert to fraction form
    52,510.53/78,742.10 = 15,062.10/x
  3. Step 3: Cross multiply
    52,510.53x = 78,742.10 × 15,062.10
  4. Step 4: Simplify right side
    52,510.53x = 1,186,021,309.10
  5. Step 5: Solve for x
    x = 1,186,021,309.10/52,510.53
  6. Step 6: Final answer
    x = 22,586.35

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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.