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Finding the Fourth Proportional to 31,043.52, 46,550.16 and 10,260

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Solution

The fourth proportional to 31,043.52, 46,550.16 and 10,260 is: 15,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,043.52 : 46,550.16 = 10,260 : x
  2. Step 2: Convert to fraction form
    31,043.52/46,550.16 = 10,260/x
  3. Step 3: Cross multiply
    31,043.52x = 46,550.16 × 10,260
  4. Step 4: Simplify right side
    31,043.52x = 477,604,641.60
  5. Step 5: Solve for x
    x = 477,604,641.60/31,043.52
  6. Step 6: Final answer
    x = 15,385.00

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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.