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Finding the Fourth Proportional to 70,248.76, 105,374.14 and 22,864.10

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Solution

The fourth proportional to 70,248.76, 105,374.14 and 22,864.10 is: 34,296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,248.76 : 105,374.14 = 22,864.10 : x
  2. Step 2: Convert to fraction form
    70,248.76/105,374.14 = 22,864.10/x
  3. Step 3: Cross multiply
    70,248.76x = 105,374.14 × 22,864.10
  4. Step 4: Simplify right side
    70,248.76x = 2,409,284,290.34
  5. Step 5: Solve for x
    x = 2,409,284,290.34/70,248.76
  6. Step 6: Final answer
    x = 34,296.47

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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.