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Finding the Fourth Proportional to 35,218.75, 52,828.05 and 8,923.42

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Solution

The fourth proportional to 35,218.75, 52,828.05 and 8,923.42 is: 13,385.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,218.75 : 52,828.05 = 8,923.42 : x
  2. Step 2: Convert to fraction form
    35,218.75/52,828.05 = 8,923.42/x
  3. Step 3: Cross multiply
    35,218.75x = 52,828.05 × 8,923.42
  4. Step 4: Simplify right side
    35,218.75x = 471,406,877.93
  5. Step 5: Solve for x
    x = 471,406,877.93/35,218.75
  6. Step 6: Final answer
    x = 13,385.11

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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.