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Finding the Fourth Proportional to 67,533.17, 101,301.06 and 20,786

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Solution

The fourth proportional to 67,533.17, 101,301.06 and 20,786 is: 31,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,533.17 : 101,301.06 = 20,786 : x
  2. Step 2: Convert to fraction form
    67,533.17/101,301.06 = 20,786/x
  3. Step 3: Cross multiply
    67,533.17x = 101,301.06 × 20,786
  4. Step 4: Simplify right side
    67,533.17x = 2,105,643,833.16
  5. Step 5: Solve for x
    x = 2,105,643,833.16/67,533.17
  6. Step 6: Final answer
    x = 31,179.40

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