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Finding the Fourth Proportional to 48,706.40, 73,125.30 and 31,210.40

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Solution

The fourth proportional to 48,706.40, 73,125.30 and 31,210.40 is: 46,857.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,706.40 : 73,125.30 = 31,210.40 : x
  2. Step 2: Convert to fraction form
    48,706.40/73,125.30 = 31,210.40/x
  3. Step 3: Cross multiply
    48,706.40x = 73,125.30 × 31,210.40
  4. Step 4: Simplify right side
    48,706.40x = 2,282,269,863.12
  5. Step 5: Solve for x
    x = 2,282,269,863.12/48,706.40
  6. Step 6: Final answer
    x = 46,857.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.