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Finding the Fourth Proportional to 75,259.89, 112,810.81 and 25,322.65

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Solution

The fourth proportional to 75,259.89, 112,810.81 and 25,322.65 is: 37,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,259.89 : 112,810.81 = 25,322.65 : x
  2. Step 2: Convert to fraction form
    75,259.89/112,810.81 = 25,322.65/x
  3. Step 3: Cross multiply
    75,259.89x = 112,810.81 × 25,322.65
  4. Step 4: Simplify right side
    75,259.89x = 2,856,668,830.51
  5. Step 5: Solve for x
    x = 2,856,668,830.51/75,259.89
  6. Step 6: Final answer
    x = 37,957.39

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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.