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Finding the Fourth Proportional to 42,814.03, 64,205.12 and 14,726.20

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Solution

The fourth proportional to 42,814.03, 64,205.12 and 14,726.20 is: 22,083.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,814.03 : 64,205.12 = 14,726.20 : x
  2. Step 2: Convert to fraction form
    42,814.03/64,205.12 = 14,726.20/x
  3. Step 3: Cross multiply
    42,814.03x = 64,205.12 × 14,726.20
  4. Step 4: Simplify right side
    42,814.03x = 945,497,364.51
  5. Step 5: Solve for x
    x = 945,497,364.51/42,814.03
  6. Step 6: Final answer
    x = 22,083.82

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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.