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Finding the Fourth Proportional to 32,552.60, 48,828.60 and 9,178.52

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Solution

The fourth proportional to 32,552.60, 48,828.60 and 9,178.52 is: 13,767.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,552.60 : 48,828.60 = 9,178.52 : x
  2. Step 2: Convert to fraction form
    32,552.60/48,828.60 = 9,178.52/x
  3. Step 3: Cross multiply
    32,552.60x = 48,828.60 × 9,178.52
  4. Step 4: Simplify right side
    32,552.60x = 448,174,281.67
  5. Step 5: Solve for x
    x = 448,174,281.67/32,552.60
  6. Step 6: Final answer
    x = 13,767.70

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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.