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Finding the Fourth Proportional to 72,870.66, 109,309.86 and 22,954.64

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Solution

The fourth proportional to 72,870.66, 109,309.86 and 22,954.64 is: 34,433.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,870.66 : 109,309.86 = 22,954.64 : x
  2. Step 2: Convert to fraction form
    72,870.66/109,309.86 = 22,954.64/x
  3. Step 3: Cross multiply
    72,870.66x = 109,309.86 × 22,954.64
  4. Step 4: Simplify right side
    72,870.66x = 2,509,167,938.20
  5. Step 5: Solve for x
    x = 2,509,167,938.20/72,870.66
  6. Step 6: Final answer
    x = 34,433.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.