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Finding the Fourth Proportional to 60,638.59, 83,681.38 and 33,782.06

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Solution

The fourth proportional to 60,638.59, 83,681.38 and 33,782.06 is: 46,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,638.59 : 83,681.38 = 33,782.06 : x
  2. Step 2: Convert to fraction form
    60,638.59/83,681.38 = 33,782.06/x
  3. Step 3: Cross multiply
    60,638.59x = 83,681.38 × 33,782.06
  4. Step 4: Simplify right side
    60,638.59x = 2,826,929,400.04
  5. Step 5: Solve for x
    x = 2,826,929,400.04/60,638.59
  6. Step 6: Final answer
    x = 46,619.31

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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.