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Finding the Fourth Proportional to 42,658, 64,010.04 and 20,770

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Solution

The fourth proportional to 42,658, 64,010.04 and 20,770 is: 31,166.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,658 : 64,010.04 = 20,770 : x
  2. Step 2: Convert to fraction form
    42,658/64,010.04 = 20,770/x
  3. Step 3: Cross multiply
    42,658x = 64,010.04 × 20,770
  4. Step 4: Simplify right side
    42,658x = 1,329,488,530.80
  5. Step 5: Solve for x
    x = 1,329,488,530.80/42,658
  6. Step 6: Final answer
    x = 31,166.22

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