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Finding the Fourth Proportional to 86,570, 119,473.89 and 48,851.54

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Solution

The fourth proportional to 86,570, 119,473.89 and 48,851.54 is: 67,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,570 : 119,473.89 = 48,851.54 : x
  2. Step 2: Convert to fraction form
    86,570/119,473.89 = 48,851.54/x
  3. Step 3: Cross multiply
    86,570x = 119,473.89 × 48,851.54
  4. Step 4: Simplify right side
    86,570x = 5,836,483,516.29
  5. Step 5: Solve for x
    x = 5,836,483,516.29/86,570
  6. Step 6: Final answer
    x = 67,419.24

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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.