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Finding the Fourth Proportional to 47,754, 71,657.28 and 23,130

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Solution

The fourth proportional to 47,754, 71,657.28 and 23,130 is: 34,707.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,754 : 71,657.28 = 23,130 : x
  2. Step 2: Convert to fraction form
    47,754/71,657.28 = 23,130/x
  3. Step 3: Cross multiply
    47,754x = 71,657.28 × 23,130
  4. Step 4: Simplify right side
    47,754x = 1,657,432,886.40
  5. Step 5: Solve for x
    x = 1,657,432,886.40/47,754
  6. Step 6: Final answer
    x = 34,707.73

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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.