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Finding the Fourth Proportional to 42,833.50, 64,253.48 and 13,254.32

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Solution

The fourth proportional to 42,833.50, 64,253.48 and 13,254.32 is: 19,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,833.50 : 64,253.48 = 13,254.32 : x
  2. Step 2: Convert to fraction form
    42,833.50/64,253.48 = 13,254.32/x
  3. Step 3: Cross multiply
    42,833.50x = 64,253.48 × 13,254.32
  4. Step 4: Simplify right side
    42,833.50x = 851,636,185.03
  5. Step 5: Solve for x
    x = 851,636,185.03/42,833.50
  6. Step 6: Final answer
    x = 19,882.48

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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.