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Finding the Fourth Proportional to 52,049, 78,075.66 and 15,113

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Solution

The fourth proportional to 52,049, 78,075.66 and 15,113 is: 22,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,049 : 78,075.66 = 15,113 : x
  2. Step 2: Convert to fraction form
    52,049/78,075.66 = 15,113/x
  3. Step 3: Cross multiply
    52,049x = 78,075.66 × 15,113
  4. Step 4: Simplify right side
    52,049x = 1,179,957,449.58
  5. Step 5: Solve for x
    x = 1,179,957,449.58/52,049
  6. Step 6: Final answer
    x = 22,670.13

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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.