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Finding the Fourth Proportional to 58,242.50, 80,381.13 and 35,886.50

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Solution

The fourth proportional to 58,242.50, 80,381.13 and 35,886.50 is: 49,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,242.50 : 80,381.13 = 35,886.50 : x
  2. Step 2: Convert to fraction form
    58,242.50/80,381.13 = 35,886.50/x
  3. Step 3: Cross multiply
    58,242.50x = 80,381.13 × 35,886.50
  4. Step 4: Simplify right side
    58,242.50x = 2,884,597,421.75
  5. Step 5: Solve for x
    x = 2,884,597,421.75/58,242.50
  6. Step 6: Final answer
    x = 49,527.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.