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Finding the Fourth Proportional to 84,534.50, 116,657.40 and 48,724.22

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Solution

The fourth proportional to 84,534.50, 116,657.40 and 48,724.22 is: 67,239.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,534.50 : 116,657.40 = 48,724.22 : x
  2. Step 2: Convert to fraction form
    84,534.50/116,657.40 = 48,724.22/x
  3. Step 3: Cross multiply
    84,534.50x = 116,657.40 × 48,724.22
  4. Step 4: Simplify right side
    84,534.50x = 5,684,040,822.23
  5. Step 5: Solve for x
    x = 5,684,040,822.23/84,534.50
  6. Step 6: Final answer
    x = 67,239.30

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1.5x scale

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.