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Finding the Fourth Proportional to 42,212, 63,339.87 and 21,435.50

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Solution

The fourth proportional to 42,212, 63,339.87 and 21,435.50 is: 32,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,212 : 63,339.87 = 21,435.50 : x
  2. Step 2: Convert to fraction form
    42,212/63,339.87 = 21,435.50/x
  3. Step 3: Cross multiply
    42,212x = 63,339.87 × 21,435.50
  4. Step 4: Simplify right side
    42,212x = 1,357,721,783.39
  5. Step 5: Solve for x
    x = 1,357,721,783.39/42,212
  6. Step 6: Final answer
    x = 32,164.36

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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.