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Finding the Fourth Proportional to 31,069.76, 46,571.10 and 15,256.40

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Solution

The fourth proportional to 31,069.76, 46,571.10 and 15,256.40 is: 22,868.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.76 : 46,571.10 = 15,256.40 : x
  2. Step 2: Convert to fraction form
    31,069.76/46,571.10 = 15,256.40/x
  3. Step 3: Cross multiply
    31,069.76x = 46,571.10 × 15,256.40
  4. Step 4: Simplify right side
    31,069.76x = 710,507,097.18
  5. Step 5: Solve for x
    x = 710,507,097.18/31,069.76
  6. Step 6: Final answer
    x = 22,868.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.