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Finding the Fourth Proportional to 86,539.76, 119,424.80 and 48,814.01

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Solution

The fourth proportional to 86,539.76, 119,424.80 and 48,814.01 is: 67,363.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,539.76 : 119,424.80 = 48,814.01 : x
  2. Step 2: Convert to fraction form
    86,539.76/119,424.80 = 48,814.01/x
  3. Step 3: Cross multiply
    86,539.76x = 119,424.80 × 48,814.01
  4. Step 4: Simplify right side
    86,539.76x = 5,829,602,540.25
  5. Step 5: Solve for x
    x = 5,829,602,540.25/86,539.76
  6. Step 6: Final answer
    x = 67,363.29

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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.