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Finding the Fourth Proportional to 75,783, 104,582.70 and 42,251.16

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Solution

The fourth proportional to 75,783, 104,582.70 and 42,251.16 is: 58,307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783 : 104,582.70 = 42,251.16 : x
  2. Step 2: Convert to fraction form
    75,783/104,582.70 = 42,251.16/x
  3. Step 3: Cross multiply
    75,783x = 104,582.70 × 42,251.16
  4. Step 4: Simplify right side
    75,783x = 4,418,740,390.93
  5. Step 5: Solve for x
    x = 4,418,740,390.93/75,783
  6. Step 6: Final answer
    x = 58,307.81

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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.