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Finding the Fourth Proportional to 75,578.32, 104,298.18 and 42,044.32

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Solution

The fourth proportional to 75,578.32, 104,298.18 and 42,044.32 is: 58,021.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578.32 : 104,298.18 = 42,044.32 : x
  2. Step 2: Convert to fraction form
    75,578.32/104,298.18 = 42,044.32/x
  3. Step 3: Cross multiply
    75,578.32x = 104,298.18 × 42,044.32
  4. Step 4: Simplify right side
    75,578.32x = 4,385,146,055.34
  5. Step 5: Solve for x
    x = 4,385,146,055.34/75,578.32
  6. Step 6: Final answer
    x = 58,021.22

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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.