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Finding the Fourth Proportional to 42,822.38, 64,234.98 and 14,742.14

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Solution

The fourth proportional to 42,822.38, 64,234.98 and 14,742.14 is: 22,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,822.38 : 64,234.98 = 14,742.14 : x
  2. Step 2: Convert to fraction form
    42,822.38/64,234.98 = 14,742.14/x
  3. Step 3: Cross multiply
    42,822.38x = 64,234.98 × 14,742.14
  4. Step 4: Simplify right side
    42,822.38x = 946,961,068.06
  5. Step 5: Solve for x
    x = 946,961,068.06/42,822.38
  6. Step 6: Final answer
    x = 22,113.70

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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.