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Finding the Fourth Proportional to 52,055.38, 71,836.82 and 28,182.45

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Solution

The fourth proportional to 52,055.38, 71,836.82 and 28,182.45 is: 38,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,055.38 : 71,836.82 = 28,182.45 : x
  2. Step 2: Convert to fraction form
    52,055.38/71,836.82 = 28,182.45/x
  3. Step 3: Cross multiply
    52,055.38x = 71,836.82 × 28,182.45
  4. Step 4: Simplify right side
    52,055.38x = 2,024,537,587.81
  5. Step 5: Solve for x
    x = 2,024,537,587.81/52,055.38
  6. Step 6: Final answer
    x = 38,892.00

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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.