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Finding the Fourth Proportional to 31,146, 42,987.34 and 19,509.60

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Solution

The fourth proportional to 31,146, 42,987.34 and 19,509.60 is: 26,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,146 : 42,987.34 = 19,509.60 : x
  2. Step 2: Convert to fraction form
    31,146/42,987.34 = 19,509.60/x
  3. Step 3: Cross multiply
    31,146x = 42,987.34 × 19,509.60
  4. Step 4: Simplify right side
    31,146x = 838,665,808.46
  5. Step 5: Solve for x
    x = 838,665,808.46/31,146
  6. Step 6: Final answer
    x = 26,926.92

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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.