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Finding the Fourth Proportional to 42,018, 63,037.24 and 12,834

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Solution

The fourth proportional to 42,018, 63,037.24 and 12,834 is: 19,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,018 : 63,037.24 = 12,834 : x
  2. Step 2: Convert to fraction form
    42,018/63,037.24 = 12,834/x
  3. Step 3: Cross multiply
    42,018x = 63,037.24 × 12,834
  4. Step 4: Simplify right side
    42,018x = 809,019,938.16
  5. Step 5: Solve for x
    x = 809,019,938.16/42,018
  6. Step 6: Final answer
    x = 19,254.13

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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.