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Finding the Fourth Proportional to 86,306.51, 129,458.55 and 23,977.01

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Solution

The fourth proportional to 86,306.51, 129,458.55 and 23,977.01 is: 35,965.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306.51 : 129,458.55 = 23,977.01 : x
  2. Step 2: Convert to fraction form
    86,306.51/129,458.55 = 23,977.01/x
  3. Step 3: Cross multiply
    86,306.51x = 129,458.55 × 23,977.01
  4. Step 4: Simplify right side
    86,306.51x = 3,104,029,361.50
  5. Step 5: Solve for x
    x = 3,104,029,361.50/86,306.51
  6. Step 6: Final answer
    x = 35,965.18

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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.