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Finding the Fourth Proportional to 31,102.47, 46,681.77 and 21,082.98

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Solution

The fourth proportional to 31,102.47, 46,681.77 and 21,082.98 is: 31,643.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,102.47 : 46,681.77 = 21,082.98 : x
  2. Step 2: Convert to fraction form
    31,102.47/46,681.77 = 21,082.98/x
  3. Step 3: Cross multiply
    31,102.47x = 46,681.77 × 21,082.98
  4. Step 4: Simplify right side
    31,102.47x = 984,190,823.27
  5. Step 5: Solve for x
    x = 984,190,823.27/31,102.47
  6. Step 6: Final answer
    x = 31,643.49

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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.