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Finding the Fourth Proportional to 35,114, 52,671 and 10,490

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Solution

The fourth proportional to 35,114, 52,671 and 10,490 is: 15,735

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114 : 52,671 = 10,490 : x
  2. Step 2: Convert to fraction form
    35,114/52,671 = 10,490/x
  3. Step 3: Cross multiply
    35,114x = 52,671 × 10,490
  4. Step 4: Simplify right side
    35,114x = 552,518,790
  5. Step 5: Solve for x
    x = 552,518,790/35,114
  6. Step 6: Final answer
    x = 15,735

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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.