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Finding the Fourth Proportional to 86,343.96, 119,152.86 and 48,103.47

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Solution

The fourth proportional to 86,343.96, 119,152.86 and 48,103.47 is: 66,381.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,343.96 : 119,152.86 = 48,103.47 : x
  2. Step 2: Convert to fraction form
    86,343.96/119,152.86 = 48,103.47/x
  3. Step 3: Cross multiply
    86,343.96x = 119,152.86 × 48,103.47
  4. Step 4: Simplify right side
    86,343.96x = 5,731,666,026.42
  5. Step 5: Solve for x
    x = 5,731,666,026.42/86,343.96
  6. Step 6: Final answer
    x = 66,381.78

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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.