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Finding the Fourth Proportional to 37,707.16, 56,129.68 and 37,146.64

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Solution

The fourth proportional to 37,707.16, 56,129.68 and 37,146.64 is: 55,295.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,707.16 : 56,129.68 = 37,146.64 : x
  2. Step 2: Convert to fraction form
    37,707.16/56,129.68 = 37,146.64/x
  3. Step 3: Cross multiply
    37,707.16x = 56,129.68 × 37,146.64
  4. Step 4: Simplify right side
    37,707.16x = 2,085,029,016.28
  5. Step 5: Solve for x
    x = 2,085,029,016.28/37,707.16
  6. Step 6: Final answer
    x = 55,295.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.