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Finding the Fourth Proportional to 52,475.84, 78,645.68 and 21,294.08

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Solution

The fourth proportional to 52,475.84, 78,645.68 and 21,294.08 is: 31,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475.84 : 78,645.68 = 21,294.08 : x
  2. Step 2: Convert to fraction form
    52,475.84/78,645.68 = 21,294.08/x
  3. Step 3: Cross multiply
    52,475.84x = 78,645.68 × 21,294.08
  4. Step 4: Simplify right side
    52,475.84x = 1,674,687,401.57
  5. Step 5: Solve for x
    x = 1,674,687,401.57/52,475.84
  6. Step 6: Final answer
    x = 31,913.49

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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.