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Finding the Fourth Proportional to 52,145.46, 78,218.10 and 14,705.46

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Solution

The fourth proportional to 52,145.46, 78,218.10 and 14,705.46 is: 22,058.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,145.46 : 78,218.10 = 14,705.46 : x
  2. Step 2: Convert to fraction form
    52,145.46/78,218.10 = 14,705.46/x
  3. Step 3: Cross multiply
    52,145.46x = 78,218.10 × 14,705.46
  4. Step 4: Simplify right side
    52,145.46x = 1,150,233,140.83
  5. Step 5: Solve for x
    x = 1,150,233,140.83/52,145.46
  6. Step 6: Final answer
    x = 22,058.16

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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.