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Finding the Fourth Proportional to 31,114.37, 42,942 and 19,784.99

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Solution

The fourth proportional to 31,114.37, 42,942 and 19,784.99 is: 27,305.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,114.37 : 42,942 = 19,784.99 : x
  2. Step 2: Convert to fraction form
    31,114.37/42,942 = 19,784.99/x
  3. Step 3: Cross multiply
    31,114.37x = 42,942 × 19,784.99
  4. Step 4: Simplify right side
    31,114.37x = 849,606,825.87
  5. Step 5: Solve for x
    x = 849,606,825.87/31,114.37
  6. Step 6: Final answer
    x = 27,305.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.