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Finding the Fourth Proportional to 101,632.42, 152,424.03 and 42,435.94

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Solution

The fourth proportional to 101,632.42, 152,424.03 and 42,435.94 is: 63,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,632.42 : 152,424.03 = 42,435.94 : x
  2. Step 2: Convert to fraction form
    101,632.42/152,424.03 = 42,435.94/x
  3. Step 3: Cross multiply
    101,632.42x = 152,424.03 × 42,435.94
  4. Step 4: Simplify right side
    101,632.42x = 6,468,256,991.64
  5. Step 5: Solve for x
    x = 6,468,256,991.64/101,632.42
  6. Step 6: Final answer
    x = 63,643.64

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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.