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Finding the Fourth Proportional to 54,802.64, 75,619.54 and 33,281.20

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Solution

The fourth proportional to 54,802.64, 75,619.54 and 33,281.20 is: 45,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,802.64 : 75,619.54 = 33,281.20 : x
  2. Step 2: Convert to fraction form
    54,802.64/75,619.54 = 33,281.20/x
  3. Step 3: Cross multiply
    54,802.64x = 75,619.54 × 33,281.20
  4. Step 4: Simplify right side
    54,802.64x = 2,516,709,034.65
  5. Step 5: Solve for x
    x = 2,516,709,034.65/54,802.64
  6. Step 6: Final answer
    x = 45,923.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.