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Finding the Fourth Proportional to 77,646.80, 116,412.60 and 33,237.20

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Solution

The fourth proportional to 77,646.80, 116,412.60 and 33,237.20 is: 49,831.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646.80 : 116,412.60 = 33,237.20 : x
  2. Step 2: Convert to fraction form
    77,646.80/116,412.60 = 33,237.20/x
  3. Step 3: Cross multiply
    77,646.80x = 116,412.60 × 33,237.20
  4. Step 4: Simplify right side
    77,646.80x = 3,869,228,868.72
  5. Step 5: Solve for x
    x = 3,869,228,868.72/77,646.80
  6. Step 6: Final answer
    x = 49,831.14

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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.