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Finding the Fourth Proportional to 31,054.38, 46,588.95 and 10,277.88

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Solution

The fourth proportional to 31,054.38, 46,588.95 and 10,277.88 is: 15,419.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.38 : 46,588.95 = 10,277.88 : x
  2. Step 2: Convert to fraction form
    31,054.38/46,588.95 = 10,277.88/x
  3. Step 3: Cross multiply
    31,054.38x = 46,588.95 × 10,277.88
  4. Step 4: Simplify right side
    31,054.38x = 478,835,637.43
  5. Step 5: Solve for x
    x = 478,835,637.43/31,054.38
  6. Step 6: Final answer
    x = 15,419.26

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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.