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Finding the Fourth Proportional to 57,364.08, 86,071.86 and 31,038

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Solution

The fourth proportional to 57,364.08, 86,071.86 and 31,038 is: 46,570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,364.08 : 86,071.86 = 31,038 : x
  2. Step 2: Convert to fraction form
    57,364.08/86,071.86 = 31,038/x
  3. Step 3: Cross multiply
    57,364.08x = 86,071.86 × 31,038
  4. Step 4: Simplify right side
    57,364.08x = 2,671,498,390.68
  5. Step 5: Solve for x
    x = 2,671,498,390.68/57,364.08
  6. Step 6: Final answer
    x = 46,570.93

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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.