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Finding the Fourth Proportional to 75,746.96, 104,535.40 and 42,212.88

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Solution

The fourth proportional to 75,746.96, 104,535.40 and 42,212.88 is: 58,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746.96 : 104,535.40 = 42,212.88 : x
  2. Step 2: Convert to fraction form
    75,746.96/104,535.40 = 42,212.88/x
  3. Step 3: Cross multiply
    75,746.96x = 104,535.40 × 42,212.88
  4. Step 4: Simplify right side
    75,746.96x = 4,412,740,295.95
  5. Step 5: Solve for x
    x = 4,412,740,295.95/75,746.96
  6. Step 6: Final answer
    x = 58,256.34

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