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Finding the Fourth Proportional to 52,494.60, 78,502.50 and 39,177

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Solution

The fourth proportional to 52,494.60, 78,502.50 and 39,177 is: 58,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,494.60 : 78,502.50 = 39,177 : x
  2. Step 2: Convert to fraction form
    52,494.60/78,502.50 = 39,177/x
  3. Step 3: Cross multiply
    52,494.60x = 78,502.50 × 39,177
  4. Step 4: Simplify right side
    52,494.60x = 3,075,492,442.50
  5. Step 5: Solve for x
    x = 3,075,492,442.50/52,494.60
  6. Step 6: Final answer
    x = 58,586.83

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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.