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Finding the Fourth Proportional to 60,681.32, 83,743.05 and 33,824.02

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Solution

The fourth proportional to 60,681.32, 83,743.05 and 33,824.02 is: 46,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,681.32 : 83,743.05 = 33,824.02 : x
  2. Step 2: Convert to fraction form
    60,681.32/83,743.05 = 33,824.02/x
  3. Step 3: Cross multiply
    60,681.32x = 83,743.05 × 33,824.02
  4. Step 4: Simplify right side
    60,681.32x = 2,832,526,388.70
  5. Step 5: Solve for x
    x = 2,832,526,388.70/60,681.32
  6. Step 6: Final answer
    x = 46,678.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.