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Finding the Fourth Proportional to 57,243.71, 85,848.06 and 39,587.83

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Solution

The fourth proportional to 57,243.71, 85,848.06 and 39,587.83 is: 59,369.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,243.71 : 85,848.06 = 39,587.83 : x
  2. Step 2: Convert to fraction form
    57,243.71/85,848.06 = 39,587.83/x
  3. Step 3: Cross multiply
    57,243.71x = 85,848.06 × 39,587.83
  4. Step 4: Simplify right side
    57,243.71x = 3,398,538,405.11
  5. Step 5: Solve for x
    x = 3,398,538,405.11/57,243.71
  6. Step 6: Final answer
    x = 59,369.64

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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.