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Finding the Fourth Proportional to 31,208.49, 46,803.01 and 10,427.13

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Solution

The fourth proportional to 31,208.49, 46,803.01 and 10,427.13 is: 15,637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.49 : 46,803.01 = 10,427.13 : x
  2. Step 2: Convert to fraction form
    31,208.49/46,803.01 = 10,427.13/x
  3. Step 3: Cross multiply
    31,208.49x = 46,803.01 × 10,427.13
  4. Step 4: Simplify right side
    31,208.49x = 488,021,069.66
  5. Step 5: Solve for x
    x = 488,021,069.66/31,208.49
  6. Step 6: Final answer
    x = 15,637.45

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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.