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Finding the Fourth Proportional to 75,070, 103,597.56 and 41,535.28

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Solution

The fourth proportional to 75,070, 103,597.56 and 41,535.28 is: 57,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,070 : 103,597.56 = 41,535.28 : x
  2. Step 2: Convert to fraction form
    75,070/103,597.56 = 41,535.28/x
  3. Step 3: Cross multiply
    75,070x = 103,597.56 × 41,535.28
  4. Step 4: Simplify right side
    75,070x = 4,302,953,661.92
  5. Step 5: Solve for x
    x = 4,302,953,661.92/75,070
  6. Step 6: Final answer
    x = 57,319.22

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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.