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Finding the Fourth Proportional to 86,106.68, 129,159.84 and 23,777

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Solution

The fourth proportional to 86,106.68, 129,159.84 and 23,777 is: 35,665.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,106.68 : 129,159.84 = 23,777 : x
  2. Step 2: Convert to fraction form
    86,106.68/129,159.84 = 23,777/x
  3. Step 3: Cross multiply
    86,106.68x = 129,159.84 × 23,777
  4. Step 4: Simplify right side
    86,106.68x = 3,071,033,515.68
  5. Step 5: Solve for x
    x = 3,071,033,515.68/86,106.68
  6. Step 6: Final answer
    x = 35,665.45

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1.5x scale

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.