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Finding the Fourth Proportional to 32,553.68, 48,875.68 and 16,770

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Solution

The fourth proportional to 32,553.68, 48,875.68 and 16,770 is: 25,178.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,553.68 : 48,875.68 = 16,770 : x
  2. Step 2: Convert to fraction form
    32,553.68/48,875.68 = 16,770/x
  3. Step 3: Cross multiply
    32,553.68x = 48,875.68 × 16,770
  4. Step 4: Simplify right side
    32,553.68x = 819,645,153.60
  5. Step 5: Solve for x
    x = 819,645,153.60/32,553.68
  6. Step 6: Final answer
    x = 25,178.26

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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.