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Finding the Fourth Proportional to 75,298.93, 103,913.33 and 41,307.48

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Solution

The fourth proportional to 75,298.93, 103,913.33 and 41,307.48 is: 57,004.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,298.93 : 103,913.33 = 41,307.48 : x
  2. Step 2: Convert to fraction form
    75,298.93/103,913.33 = 41,307.48/x
  3. Step 3: Cross multiply
    75,298.93x = 103,913.33 × 41,307.48
  4. Step 4: Simplify right side
    75,298.93x = 4,292,397,800.71
  5. Step 5: Solve for x
    x = 4,292,397,800.71/75,298.93
  6. Step 6: Final answer
    x = 57,004.76

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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.