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Finding the Fourth Proportional to 32,281.44, 48,424.95 and 8,907.88

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Solution

The fourth proportional to 32,281.44, 48,424.95 and 8,907.88 is: 13,362.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.44 : 48,424.95 = 8,907.88 : x
  2. Step 2: Convert to fraction form
    32,281.44/48,424.95 = 8,907.88/x
  3. Step 3: Cross multiply
    32,281.44x = 48,424.95 × 8,907.88
  4. Step 4: Simplify right side
    32,281.44x = 431,363,643.61
  5. Step 5: Solve for x
    x = 431,363,643.61/32,281.44
  6. Step 6: Final answer
    x = 13,362.59

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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.