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Finding the Fourth Proportional to 42,238, 63,378.87 and 21,461.50

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Solution

The fourth proportional to 42,238, 63,378.87 and 21,461.50 is: 32,203.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,238 : 63,378.87 = 21,461.50 : x
  2. Step 2: Convert to fraction form
    42,238/63,378.87 = 21,461.50/x
  3. Step 3: Cross multiply
    42,238x = 63,378.87 × 21,461.50
  4. Step 4: Simplify right side
    42,238x = 1,360,205,618.51
  5. Step 5: Solve for x
    x = 1,360,205,618.51/42,238
  6. Step 6: Final answer
    x = 32,203.36

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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.