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Finding the Fourth Proportional to 31,047, 46,575.36 and 10,275.36

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Solution

The fourth proportional to 31,047, 46,575.36 and 10,275.36 is: 15,414.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,047 : 46,575.36 = 10,275.36 : x
  2. Step 2: Convert to fraction form
    31,047/46,575.36 = 10,275.36/x
  3. Step 3: Cross multiply
    31,047x = 46,575.36 × 10,275.36
  4. Step 4: Simplify right side
    31,047x = 478,578,591.13
  5. Step 5: Solve for x
    x = 478,578,591.13/31,047
  6. Step 6: Final answer
    x = 15,414.65

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Why These Related Problems?

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