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Finding the Fourth Proportional to 70,473.28, 97,237.92 and 40,648

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Solution

The fourth proportional to 70,473.28, 97,237.92 and 40,648 is: 56,085.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,473.28 : 97,237.92 = 40,648 : x
  2. Step 2: Convert to fraction form
    70,473.28/97,237.92 = 40,648/x
  3. Step 3: Cross multiply
    70,473.28x = 97,237.92 × 40,648
  4. Step 4: Simplify right side
    70,473.28x = 3,952,526,972.16
  5. Step 5: Solve for x
    x = 3,952,526,972.16/70,473.28
  6. Step 6: Final answer
    x = 56,085.47

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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.