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Finding the Fourth Proportional to 73,040.16, 100,823.76 and 42,852

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Solution

The fourth proportional to 73,040.16, 100,823.76 and 42,852 is: 59,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,040.16 : 100,823.76 = 42,852 : x
  2. Step 2: Convert to fraction form
    73,040.16/100,823.76 = 42,852/x
  3. Step 3: Cross multiply
    73,040.16x = 100,823.76 × 42,852
  4. Step 4: Simplify right side
    73,040.16x = 4,320,499,763.52
  5. Step 5: Solve for x
    x = 4,320,499,763.52/73,040.16
  6. Step 6: Final answer
    x = 59,152.39

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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.