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Finding the Fourth Proportional to 31,155.66, 46,495.05 and 27,831.42

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Solution

The fourth proportional to 31,155.66, 46,495.05 and 27,831.42 is: 41,534.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,155.66 : 46,495.05 = 27,831.42 : x
  2. Step 2: Convert to fraction form
    31,155.66/46,495.05 = 27,831.42/x
  3. Step 3: Cross multiply
    31,155.66x = 46,495.05 × 27,831.42
  4. Step 4: Simplify right side
    31,155.66x = 1,294,023,264.47
  5. Step 5: Solve for x
    x = 1,294,023,264.47/31,155.66
  6. Step 6: Final answer
    x = 41,534.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.