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Finding the Fourth Proportional to 33,264.67, 45,904.10 and 19,829

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Solution

The fourth proportional to 33,264.67, 45,904.10 and 19,829 is: 27,363.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,264.67 : 45,904.10 = 19,829 : x
  2. Step 2: Convert to fraction form
    33,264.67/45,904.10 = 19,829/x
  3. Step 3: Cross multiply
    33,264.67x = 45,904.10 × 19,829
  4. Step 4: Simplify right side
    33,264.67x = 910,232,398.90
  5. Step 5: Solve for x
    x = 910,232,398.90/33,264.67
  6. Step 6: Final answer
    x = 27,363.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.