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Finding the Fourth Proportional to 31,871.07, 48,106.17 and 31,871.07

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Solution

The fourth proportional to 31,871.07, 48,106.17 and 31,871.07 is: 48,106.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,871.07 : 48,106.17 = 31,871.07 : x
  2. Step 2: Convert to fraction form
    31,871.07/48,106.17 = 31,871.07/x
  3. Step 3: Cross multiply
    31,871.07x = 48,106.17 × 31,871.07
  4. Step 4: Simplify right side
    31,871.07x = 1,533,195,111.50
  5. Step 5: Solve for x
    x = 1,533,195,111.50/31,871.07
  6. Step 6: Final answer
    x = 48,106.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.