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Finding the Fourth Proportional to 31,206.40, 46,809.60 and 10,146.40

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Solution

The fourth proportional to 31,206.40, 46,809.60 and 10,146.40 is: 15,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.40 : 46,809.60 = 10,146.40 : x
  2. Step 2: Convert to fraction form
    31,206.40/46,809.60 = 10,146.40/x
  3. Step 3: Cross multiply
    31,206.40x = 46,809.60 × 10,146.40
  4. Step 4: Simplify right side
    31,206.40x = 474,948,925.44
  5. Step 5: Solve for x
    x = 474,948,925.44/31,206.40
  6. Step 6: Final answer
    x = 15,219.60

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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.