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Finding the Fourth Proportional to 52,578.05, 72,534.02 and 32,435.78

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Solution

The fourth proportional to 52,578.05, 72,534.02 and 32,435.78 is: 44,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,578.05 : 72,534.02 = 32,435.78 : x
  2. Step 2: Convert to fraction form
    52,578.05/72,534.02 = 32,435.78/x
  3. Step 3: Cross multiply
    52,578.05x = 72,534.02 × 32,435.78
  4. Step 4: Simplify right side
    52,578.05x = 2,352,696,990.39
  5. Step 5: Solve for x
    x = 2,352,696,990.39/52,578.05
  6. Step 6: Final answer
    x = 44,746.76

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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.