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Finding the Fourth Proportional to 77,681.64, 116,424.66 and 33,255.84

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Solution

The fourth proportional to 77,681.64, 116,424.66 and 33,255.84 is: 49,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,681.64 : 116,424.66 = 33,255.84 : x
  2. Step 2: Convert to fraction form
    77,681.64/116,424.66 = 33,255.84/x
  3. Step 3: Cross multiply
    77,681.64x = 116,424.66 × 33,255.84
  4. Step 4: Simplify right side
    77,681.64x = 3,871,799,865.01
  5. Step 5: Solve for x
    x = 3,871,799,865.01/77,681.64
  6. Step 6: Final answer
    x = 49,841.89

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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.