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Finding the Fourth Proportional to 77,549.40, 116,225.28 and 33,164.64

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Solution

The fourth proportional to 77,549.40, 116,225.28 and 33,164.64 is: 49,704.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,549.40 : 116,225.28 = 33,164.64 : x
  2. Step 2: Convert to fraction form
    77,549.40/116,225.28 = 33,164.64/x
  3. Step 3: Cross multiply
    77,549.40x = 116,225.28 × 33,164.64
  4. Step 4: Simplify right side
    77,549.40x = 3,854,569,570.10
  5. Step 5: Solve for x
    x = 3,854,569,570.10/77,549.40
  6. Step 6: Final answer
    x = 49,704.70

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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.