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Finding the Fourth Proportional to 73,465.84, 110,132.70 and 26,686

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Solution

The fourth proportional to 73,465.84, 110,132.70 and 26,686 is: 40,005.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,465.84 : 110,132.70 = 26,686 : x
  2. Step 2: Convert to fraction form
    73,465.84/110,132.70 = 26,686/x
  3. Step 3: Cross multiply
    73,465.84x = 110,132.70 × 26,686
  4. Step 4: Simplify right side
    73,465.84x = 2,939,001,232.20
  5. Step 5: Solve for x
    x = 2,939,001,232.20/73,465.84
  6. Step 6: Final answer
    x = 40,005.00

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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.