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Finding the Fourth Proportional to 73,015.14, 100,762.20 and 42,822.23

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Solution

The fourth proportional to 73,015.14, 100,762.20 and 42,822.23 is: 59,095.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,015.14 : 100,762.20 = 42,822.23 : x
  2. Step 2: Convert to fraction form
    73,015.14/100,762.20 = 42,822.23/x
  3. Step 3: Cross multiply
    73,015.14x = 100,762.20 × 42,822.23
  4. Step 4: Simplify right side
    73,015.14x = 4,314,862,103.71
  5. Step 5: Solve for x
    x = 4,314,862,103.71/73,015.14
  6. Step 6: Final answer
    x = 59,095.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.