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Finding the Fourth Proportional to 31,135.38, 46,703.47 and 10,358.88

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Solution

The fourth proportional to 31,135.38, 46,703.47 and 10,358.88 is: 15,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,135.38 : 46,703.47 = 10,358.88 : x
  2. Step 2: Convert to fraction form
    31,135.38/46,703.47 = 10,358.88/x
  3. Step 3: Cross multiply
    31,135.38x = 46,703.47 × 10,358.88
  4. Step 4: Simplify right side
    31,135.38x = 483,795,407.80
  5. Step 5: Solve for x
    x = 483,795,407.80/31,135.38
  6. Step 6: Final answer
    x = 15,538.45

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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.