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Finding the Fourth Proportional to 42,896.88, 64,332.36 and 25,362

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Solution

The fourth proportional to 42,896.88, 64,332.36 and 25,362 is: 38,035.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,896.88 : 64,332.36 = 25,362 : x
  2. Step 2: Convert to fraction form
    42,896.88/64,332.36 = 25,362/x
  3. Step 3: Cross multiply
    42,896.88x = 64,332.36 × 25,362
  4. Step 4: Simplify right side
    42,896.88x = 1,631,597,314.32
  5. Step 5: Solve for x
    x = 1,631,597,314.32/42,896.88
  6. Step 6: Final answer
    x = 38,035.34

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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.