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Finding the Fourth Proportional to 51,238.80, 70,689.16 and 31,088.28

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Solution

The fourth proportional to 51,238.80, 70,689.16 and 31,088.28 is: 42,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238.80 : 70,689.16 = 31,088.28 : x
  2. Step 2: Convert to fraction form
    51,238.80/70,689.16 = 31,088.28/x
  3. Step 3: Cross multiply
    51,238.80x = 70,689.16 × 31,088.28
  4. Step 4: Simplify right side
    51,238.80x = 2,197,604,399.04
  5. Step 5: Solve for x
    x = 2,197,604,399.04/51,238.80
  6. Step 6: Final answer
    x = 42,889.46

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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.