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Finding the Fourth Proportional to 75,613.82, 113,420.72 and 23,023.30

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Solution

The fourth proportional to 75,613.82, 113,420.72 and 23,023.30 is: 34,534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613.82 : 113,420.72 = 23,023.30 : x
  2. Step 2: Convert to fraction form
    75,613.82/113,420.72 = 23,023.30/x
  3. Step 3: Cross multiply
    75,613.82x = 113,420.72 × 23,023.30
  4. Step 4: Simplify right side
    75,613.82x = 2,611,319,457.51
  5. Step 5: Solve for x
    x = 2,611,319,457.51/75,613.82
  6. Step 6: Final answer
    x = 34,534.95

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1.5x scale

Why These Related Problems?

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