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Finding the Fourth Proportional to 75,275.58, 103,880.30 and 41,741.58

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Solution

The fourth proportional to 75,275.58, 103,880.30 and 41,741.58 is: 57,603.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,275.58 : 103,880.30 = 41,741.58 : x
  2. Step 2: Convert to fraction form
    75,275.58/103,880.30 = 41,741.58/x
  3. Step 3: Cross multiply
    75,275.58x = 103,880.30 × 41,741.58
  4. Step 4: Simplify right side
    75,275.58x = 4,336,127,566.79
  5. Step 5: Solve for x
    x = 4,336,127,566.79/75,275.58
  6. Step 6: Final answer
    x = 57,603.38

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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.