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Finding the Fourth Proportional to 42,890.14, 64,264.07 and 30,348

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Solution

The fourth proportional to 42,890.14, 64,264.07 and 30,348 is: 45,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,890.14 : 64,264.07 = 30,348 : x
  2. Step 2: Convert to fraction form
    42,890.14/64,264.07 = 30,348/x
  3. Step 3: Cross multiply
    42,890.14x = 64,264.07 × 30,348
  4. Step 4: Simplify right side
    42,890.14x = 1,950,285,996.36
  5. Step 5: Solve for x
    x = 1,950,285,996.36/42,890.14
  6. Step 6: Final answer
    x = 45,471.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.