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Finding the Fourth Proportional to 85,574.34, 128,254.59 and 41,189.31

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Solution

The fourth proportional to 85,574.34, 128,254.59 and 41,189.31 is: 61,732.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,574.34 : 128,254.59 = 41,189.31 : x
  2. Step 2: Convert to fraction form
    85,574.34/128,254.59 = 41,189.31/x
  3. Step 3: Cross multiply
    85,574.34x = 128,254.59 × 41,189.31
  4. Step 4: Simplify right side
    85,574.34x = 5,282,718,066.43
  5. Step 5: Solve for x
    x = 5,282,718,066.43/85,574.34
  6. Step 6: Final answer
    x = 61,732.50

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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.