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Finding the Fourth Proportional to 48,364.96, 66,689.48 and 30,438

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Solution

The fourth proportional to 48,364.96, 66,689.48 and 30,438 is: 41,970.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,364.96 : 66,689.48 = 30,438 : x
  2. Step 2: Convert to fraction form
    48,364.96/66,689.48 = 30,438/x
  3. Step 3: Cross multiply
    48,364.96x = 66,689.48 × 30,438
  4. Step 4: Simplify right side
    48,364.96x = 2,029,894,392.24
  5. Step 5: Solve for x
    x = 2,029,894,392.24/48,364.96
  6. Step 6: Final answer
    x = 41,970.35

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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.