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Finding the Fourth Proportional to 86,461.48, 119,309.70 and 48,745

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Solution

The fourth proportional to 86,461.48, 119,309.70 and 48,745 is: 67,264.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,461.48 : 119,309.70 = 48,745 : x
  2. Step 2: Convert to fraction form
    86,461.48/119,309.70 = 48,745/x
  3. Step 3: Cross multiply
    86,461.48x = 119,309.70 × 48,745
  4. Step 4: Simplify right side
    86,461.48x = 5,815,751,326.50
  5. Step 5: Solve for x
    x = 5,815,751,326.50/86,461.48
  6. Step 6: Final answer
    x = 67,264.07

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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.