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Finding the Fourth Proportional to 32,592.84, 48,890.16 and 11,529.90

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Solution

The fourth proportional to 32,592.84, 48,890.16 and 11,529.90 is: 17,295.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,592.84 : 48,890.16 = 11,529.90 : x
  2. Step 2: Convert to fraction form
    32,592.84/48,890.16 = 11,529.90/x
  3. Step 3: Cross multiply
    32,592.84x = 48,890.16 × 11,529.90
  4. Step 4: Simplify right side
    32,592.84x = 563,698,655.78
  5. Step 5: Solve for x
    x = 563,698,655.78/32,592.84
  6. Step 6: Final answer
    x = 17,295.17

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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.