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Finding the Fourth Proportional to 31,170.76, 46,762.24 and 11,449.47

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Solution

The fourth proportional to 31,170.76, 46,762.24 and 11,449.47 is: 17,176.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.76 : 46,762.24 = 11,449.47 : x
  2. Step 2: Convert to fraction form
    31,170.76/46,762.24 = 11,449.47/x
  3. Step 3: Cross multiply
    31,170.76x = 46,762.24 × 11,449.47
  4. Step 4: Simplify right side
    31,170.76x = 535,402,864.01
  5. Step 5: Solve for x
    x = 535,402,864.01/31,170.76
  6. Step 6: Final answer
    x = 17,176.45

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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.