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Finding the Fourth Proportional to 55,497, 83,245.50 and 16,585

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Solution

The fourth proportional to 55,497, 83,245.50 and 16,585 is: 24,877.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,497 : 83,245.50 = 16,585 : x
  2. Step 2: Convert to fraction form
    55,497/83,245.50 = 16,585/x
  3. Step 3: Cross multiply
    55,497x = 83,245.50 × 16,585
  4. Step 4: Simplify right side
    55,497x = 1,380,626,617.50
  5. Step 5: Solve for x
    x = 1,380,626,617.50/55,497
  6. Step 6: Final answer
    x = 24,877.50

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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.