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Finding the Fourth Proportional to 32,304, 48,468.74 and 12,588.18

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Solution

The fourth proportional to 32,304, 48,468.74 and 12,588.18 is: 18,887.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304 : 48,468.74 = 12,588.18 : x
  2. Step 2: Convert to fraction form
    32,304/48,468.74 = 12,588.18/x
  3. Step 3: Cross multiply
    32,304x = 48,468.74 × 12,588.18
  4. Step 4: Simplify right side
    32,304x = 610,133,223.49
  5. Step 5: Solve for x
    x = 610,133,223.49/32,304
  6. Step 6: Final answer
    x = 18,887.23

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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.