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Finding the Fourth Proportional to 77,228.40, 115,831.80 and 24,643.20

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Solution

The fourth proportional to 77,228.40, 115,831.80 and 24,643.20 is: 36,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,228.40 : 115,831.80 = 24,643.20 : x
  2. Step 2: Convert to fraction form
    77,228.40/115,831.80 = 24,643.20/x
  3. Step 3: Cross multiply
    77,228.40x = 115,831.80 × 24,643.20
  4. Step 4: Simplify right side
    77,228.40x = 2,854,466,213.76
  5. Step 5: Solve for x
    x = 2,854,466,213.76/77,228.40
  6. Step 6: Final answer
    x = 36,961.35

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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.