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Finding the Fourth Proportional to 52,496, 78,767.20 and 27,530.08

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Solution

The fourth proportional to 52,496, 78,767.20 and 27,530.08 is: 41,307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,496 : 78,767.20 = 27,530.08 : x
  2. Step 2: Convert to fraction form
    52,496/78,767.20 = 27,530.08/x
  3. Step 3: Cross multiply
    52,496x = 78,767.20 × 27,530.08
  4. Step 4: Simplify right side
    52,496x = 2,168,467,317.38
  5. Step 5: Solve for x
    x = 2,168,467,317.38/52,496
  6. Step 6: Final answer
    x = 41,307.29

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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.