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Finding the Fourth Proportional to 52,427.86, 78,644.52 and 19,158.12

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Solution

The fourth proportional to 52,427.86, 78,644.52 and 19,158.12 is: 28,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,427.86 : 78,644.52 = 19,158.12 : x
  2. Step 2: Convert to fraction form
    52,427.86/78,644.52 = 19,158.12/x
  3. Step 3: Cross multiply
    52,427.86x = 78,644.52 × 19,158.12
  4. Step 4: Simplify right side
    52,427.86x = 1,506,681,151.50
  5. Step 5: Solve for x
    x = 1,506,681,151.50/52,427.86
  6. Step 6: Final answer
    x = 28,738.18

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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.