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Finding the Fourth Proportional to 52,010, 77,952.32 and 23,891.20

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Solution

The fourth proportional to 52,010, 77,952.32 and 23,891.20 is: 35,808.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,010 : 77,952.32 = 23,891.20 : x
  2. Step 2: Convert to fraction form
    52,010/77,952.32 = 23,891.20/x
  3. Step 3: Cross multiply
    52,010x = 77,952.32 × 23,891.20
  4. Step 4: Simplify right side
    52,010x = 1,862,374,467.58
  5. Step 5: Solve for x
    x = 1,862,374,467.58/52,010
  6. Step 6: Final answer
    x = 35,808.01

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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.