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Finding the Fourth Proportional to 32,798.40, 45,205.84 and 22,023.76

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Solution

The fourth proportional to 32,798.40, 45,205.84 and 22,023.76 is: 30,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,798.40 : 45,205.84 = 22,023.76 : x
  2. Step 2: Convert to fraction form
    32,798.40/45,205.84 = 22,023.76/x
  3. Step 3: Cross multiply
    32,798.40x = 45,205.84 × 22,023.76
  4. Step 4: Simplify right side
    32,798.40x = 995,602,570.76
  5. Step 5: Solve for x
    x = 995,602,570.76/32,798.40
  6. Step 6: Final answer
    x = 30,355.22

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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.