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Finding the Fourth Proportional to 55,689.48, 83,605.53 and 47,842.20

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Solution

The fourth proportional to 55,689.48, 83,605.53 and 47,842.20 is: 71,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,689.48 : 83,605.53 = 47,842.20 : x
  2. Step 2: Convert to fraction form
    55,689.48/83,605.53 = 47,842.20/x
  3. Step 3: Cross multiply
    55,689.48x = 83,605.53 × 47,842.20
  4. Step 4: Simplify right side
    55,689.48x = 3,999,872,487.37
  5. Step 5: Solve for x
    x = 3,999,872,487.37/55,689.48
  6. Step 6: Final answer
    x = 71,824.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.