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Finding the Fourth Proportional to 29,488.66, 44,235.72 and 8,428.46

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Solution

The fourth proportional to 29,488.66, 44,235.72 and 8,428.46 is: 12,643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,488.66 : 44,235.72 = 8,428.46 : x
  2. Step 2: Convert to fraction form
    29,488.66/44,235.72 = 8,428.46/x
  3. Step 3: Cross multiply
    29,488.66x = 44,235.72 × 8,428.46
  4. Step 4: Simplify right side
    29,488.66x = 372,838,775.41
  5. Step 5: Solve for x
    x = 372,838,775.41/29,488.66
  6. Step 6: Final answer
    x = 12,643.46

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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.