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Finding the Fourth Proportional to 55,466.88, 83,194.56 and 18,528

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Solution

The fourth proportional to 55,466.88, 83,194.56 and 18,528 is: 27,790.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,466.88 : 83,194.56 = 18,528 : x
  2. Step 2: Convert to fraction form
    55,466.88/83,194.56 = 18,528/x
  3. Step 3: Cross multiply
    55,466.88x = 83,194.56 × 18,528
  4. Step 4: Simplify right side
    55,466.88x = 1,541,428,807.68
  5. Step 5: Solve for x
    x = 1,541,428,807.68/55,466.88
  6. Step 6: Final answer
    x = 27,790.08

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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.