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Finding the Fourth Proportional to 52,459.84, 78,677.76 and 15,019.20

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Solution

The fourth proportional to 52,459.84, 78,677.76 and 15,019.20 is: 22,525.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459.84 : 78,677.76 = 15,019.20 : x
  2. Step 2: Convert to fraction form
    52,459.84/78,677.76 = 15,019.20/x
  3. Step 3: Cross multiply
    52,459.84x = 78,677.76 × 15,019.20
  4. Step 4: Simplify right side
    52,459.84x = 1,181,677,012.99
  5. Step 5: Solve for x
    x = 1,181,677,012.99/52,459.84
  6. Step 6: Final answer
    x = 22,525.36

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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.