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Finding the Fourth Proportional to 32,281.53, 48,424.71 and 8,907.75

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Solution

The fourth proportional to 32,281.53, 48,424.71 and 8,907.75 is: 13,362.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,281.53 : 48,424.71 = 8,907.75 : x
  2. Step 2: Convert to fraction form
    32,281.53/48,424.71 = 8,907.75/x
  3. Step 3: Cross multiply
    32,281.53x = 48,424.71 × 8,907.75
  4. Step 4: Simplify right side
    32,281.53x = 431,355,210.50
  5. Step 5: Solve for x
    x = 431,355,210.50/32,281.53
  6. Step 6: Final answer
    x = 13,362.29

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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.