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Finding the Fourth Proportional to 34,071.72, 47,005.86 and 25,140.68

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Solution

The fourth proportional to 34,071.72, 47,005.86 and 25,140.68 is: 34,684.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,071.72 : 47,005.86 = 25,140.68 : x
  2. Step 2: Convert to fraction form
    34,071.72/47,005.86 = 25,140.68/x
  3. Step 3: Cross multiply
    34,071.72x = 47,005.86 × 25,140.68
  4. Step 4: Simplify right side
    34,071.72x = 1,181,759,284.38
  5. Step 5: Solve for x
    x = 1,181,759,284.38/34,071.72
  6. Step 6: Final answer
    x = 34,684.46

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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.