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Finding the Fourth Proportional to 70,294.81, 105,309.78 and 34,714.48

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Solution

The fourth proportional to 70,294.81, 105,309.78 and 34,714.48 is: 52,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,294.81 : 105,309.78 = 34,714.48 : x
  2. Step 2: Convert to fraction form
    70,294.81/105,309.78 = 34,714.48/x
  3. Step 3: Cross multiply
    70,294.81x = 105,309.78 × 34,714.48
  4. Step 4: Simplify right side
    70,294.81x = 3,655,774,251.61
  5. Step 5: Solve for x
    x = 3,655,774,251.61/70,294.81
  6. Step 6: Final answer
    x = 52,006.32

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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.