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Finding the Fourth Proportional to 37,585.16, 56,305.07 and 20,894.60

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Solution

The fourth proportional to 37,585.16, 56,305.07 and 20,894.60 is: 31,301.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,585.16 : 56,305.07 = 20,894.60 : x
  2. Step 2: Convert to fraction form
    37,585.16/56,305.07 = 20,894.60/x
  3. Step 3: Cross multiply
    37,585.16x = 56,305.07 × 20,894.60
  4. Step 4: Simplify right side
    37,585.16x = 1,176,471,811.15
  5. Step 5: Solve for x
    x = 1,176,471,811.15/37,585.16
  6. Step 6: Final answer
    x = 31,301.50

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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.