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Finding the Fourth Proportional to 27,966.16, 42,140.46 and 23,142.16

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Solution

The fourth proportional to 27,966.16, 42,140.46 and 23,142.16 is: 34,871.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,966.16 : 42,140.46 = 23,142.16 : x
  2. Step 2: Convert to fraction form
    27,966.16/42,140.46 = 23,142.16/x
  3. Step 3: Cross multiply
    27,966.16x = 42,140.46 × 23,142.16
  4. Step 4: Simplify right side
    27,966.16x = 975,221,267.79
  5. Step 5: Solve for x
    x = 975,221,267.79/27,966.16
  6. Step 6: Final answer
    x = 34,871.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.