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Finding the Fourth Proportional to 86,924.16, 130,386.24 and 45,361.44

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Solution

The fourth proportional to 86,924.16, 130,386.24 and 45,361.44 is: 68,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,924.16 : 130,386.24 = 45,361.44 : x
  2. Step 2: Convert to fraction form
    86,924.16/130,386.24 = 45,361.44/x
  3. Step 3: Cross multiply
    86,924.16x = 130,386.24 × 45,361.44
  4. Step 4: Simplify right side
    86,924.16x = 5,914,507,602.59
  5. Step 5: Solve for x
    x = 5,914,507,602.59/86,924.16
  6. Step 6: Final answer
    x = 68,042.16

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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.