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Finding the Fourth Proportional to 43,495, 60,023.10 and 23,623

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Solution

The fourth proportional to 43,495, 60,023.10 and 23,623 is: 32,599.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,495 : 60,023.10 = 23,623 : x
  2. Step 2: Convert to fraction form
    43,495/60,023.10 = 23,623/x
  3. Step 3: Cross multiply
    43,495x = 60,023.10 × 23,623
  4. Step 4: Simplify right side
    43,495x = 1,417,925,691.30
  5. Step 5: Solve for x
    x = 1,417,925,691.30/43,495
  6. Step 6: Final answer
    x = 32,599.74

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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.