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Finding the Fourth Proportional to 33,049, 45,646.50 and 22,420.18

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Solution

The fourth proportional to 33,049, 45,646.50 and 22,420.18 is: 30,966.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049 : 45,646.50 = 22,420.18 : x
  2. Step 2: Convert to fraction form
    33,049/45,646.50 = 22,420.18/x
  3. Step 3: Cross multiply
    33,049x = 45,646.50 × 22,420.18
  4. Step 4: Simplify right side
    33,049x = 1,023,402,746.37
  5. Step 5: Solve for x
    x = 1,023,402,746.37/33,049
  6. Step 6: Final answer
    x = 30,966.22

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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.