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Finding the Fourth Proportional to 52,484.38, 78,719.20 and 15,047.64

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Solution

The fourth proportional to 52,484.38, 78,719.20 and 15,047.64 is: 22,569.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,484.38 : 78,719.20 = 15,047.64 : x
  2. Step 2: Convert to fraction form
    52,484.38/78,719.20 = 15,047.64/x
  3. Step 3: Cross multiply
    52,484.38x = 78,719.20 × 15,047.64
  4. Step 4: Simplify right side
    52,484.38x = 1,184,538,182.69
  5. Step 5: Solve for x
    x = 1,184,538,182.69/52,484.38
  6. Step 6: Final answer
    x = 22,569.35

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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.