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Finding the Fourth Proportional to 60,477.72, 83,461.40 and 33,255.88

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Solution

The fourth proportional to 60,477.72, 83,461.40 and 33,255.88 is: 45,894.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,477.72 : 83,461.40 = 33,255.88 : x
  2. Step 2: Convert to fraction form
    60,477.72/83,461.40 = 33,255.88/x
  3. Step 3: Cross multiply
    60,477.72x = 83,461.40 × 33,255.88
  4. Step 4: Simplify right side
    60,477.72x = 2,775,582,052.81
  5. Step 5: Solve for x
    x = 2,775,582,052.81/60,477.72
  6. Step 6: Final answer
    x = 45,894.29

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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.