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Finding the Fourth Proportional to 52,502.34, 78,754.95 and 16,965.18

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Solution

The fourth proportional to 52,502.34, 78,754.95 and 16,965.18 is: 25,448.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,502.34 : 78,754.95 = 16,965.18 : x
  2. Step 2: Convert to fraction form
    52,502.34/78,754.95 = 16,965.18/x
  3. Step 3: Cross multiply
    52,502.34x = 78,754.95 × 16,965.18
  4. Step 4: Simplify right side
    52,502.34x = 1,336,091,902.64
  5. Step 5: Solve for x
    x = 1,336,091,902.64/52,502.34
  6. Step 6: Final answer
    x = 25,448.24

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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.