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Finding the Fourth Proportional to 32,384.88, 48,578.27 and 9,011.32

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Solution

The fourth proportional to 32,384.88, 48,578.27 and 9,011.32 is: 13,517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,384.88 : 48,578.27 = 9,011.32 : x
  2. Step 2: Convert to fraction form
    32,384.88/48,578.27 = 9,011.32/x
  3. Step 3: Cross multiply
    32,384.88x = 48,578.27 × 9,011.32
  4. Step 4: Simplify right side
    32,384.88x = 437,754,169.51
  5. Step 5: Solve for x
    x = 437,754,169.51/32,384.88
  6. Step 6: Final answer
    x = 13,517.24

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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.