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Finding the Fourth Proportional to 70,886, 106,329 and 29,334.08

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Solution

The fourth proportional to 70,886, 106,329 and 29,334.08 is: 44,001.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886 : 106,329 = 29,334.08 : x
  2. Step 2: Convert to fraction form
    70,886/106,329 = 29,334.08/x
  3. Step 3: Cross multiply
    70,886x = 106,329 × 29,334.08
  4. Step 4: Simplify right side
    70,886x = 3,119,063,392.32
  5. Step 5: Solve for x
    x = 3,119,063,392.32/70,886
  6. Step 6: Final answer
    x = 44,001.12

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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.