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Finding the Fourth Proportional to 32,200, 44,420.88 and 22,773.76

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Solution

The fourth proportional to 32,200, 44,420.88 and 22,773.76 is: 31,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200 : 44,420.88 = 22,773.76 : x
  2. Step 2: Convert to fraction form
    32,200/44,420.88 = 22,773.76/x
  3. Step 3: Cross multiply
    32,200x = 44,420.88 × 22,773.76
  4. Step 4: Simplify right side
    32,200x = 1,011,630,460.11
  5. Step 5: Solve for x
    x = 1,011,630,460.11/32,200
  6. Step 6: Final answer
    x = 31,417.10

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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.