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Finding the Fourth Proportional to 52,058.50, 78,095.14 and 16,529.87

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Solution

The fourth proportional to 52,058.50, 78,095.14 and 16,529.87 is: 24,797.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,058.50 : 78,095.14 = 16,529.87 : x
  2. Step 2: Convert to fraction form
    52,058.50/78,095.14 = 16,529.87/x
  3. Step 3: Cross multiply
    52,058.50x = 78,095.14 × 16,529.87
  4. Step 4: Simplify right side
    52,058.50x = 1,290,902,665.74
  5. Step 5: Solve for x
    x = 1,290,902,665.74/52,058.50
  6. Step 6: Final answer
    x = 24,797.16

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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.