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Finding the Fourth Proportional to 42,832.50, 64,251.98 and 13,253.32

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Solution

The fourth proportional to 42,832.50, 64,251.98 and 13,253.32 is: 19,880.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,832.50 : 64,251.98 = 13,253.32 : x
  2. Step 2: Convert to fraction form
    42,832.50/64,251.98 = 13,253.32/x
  3. Step 3: Cross multiply
    42,832.50x = 64,251.98 × 13,253.32
  4. Step 4: Simplify right side
    42,832.50x = 851,552,051.57
  5. Step 5: Solve for x
    x = 851,552,051.57/42,832.50
  6. Step 6: Final answer
    x = 19,880.98

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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.