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Finding the Fourth Proportional to 102,586.50, 153,899.70 and 39,402

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Solution

The fourth proportional to 102,586.50, 153,899.70 and 39,402 is: 59,110.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,586.50 : 153,899.70 = 39,402 : x
  2. Step 2: Convert to fraction form
    102,586.50/153,899.70 = 39,402/x
  3. Step 3: Cross multiply
    102,586.50x = 153,899.70 × 39,402
  4. Step 4: Simplify right side
    102,586.50x = 6,063,955,979.40
  5. Step 5: Solve for x
    x = 6,063,955,979.40/102,586.50
  6. Step 6: Final answer
    x = 59,110.66

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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.