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Finding the Fourth Proportional to 105,729.52, 158,594.28 and 26,844.16

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Solution

The fourth proportional to 105,729.52, 158,594.28 and 26,844.16 is: 40,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,729.52 : 158,594.28 = 26,844.16 : x
  2. Step 2: Convert to fraction form
    105,729.52/158,594.28 = 26,844.16/x
  3. Step 3: Cross multiply
    105,729.52x = 158,594.28 × 26,844.16
  4. Step 4: Simplify right side
    105,729.52x = 4,257,330,227.40
  5. Step 5: Solve for x
    x = 4,257,330,227.40/105,729.52
  6. Step 6: Final answer
    x = 40,266.24

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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.