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Finding the Fourth Proportional to 35,113, 52,669.50 and 10,489

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Solution

The fourth proportional to 35,113, 52,669.50 and 10,489 is: 15,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,113 : 52,669.50 = 10,489 : x
  2. Step 2: Convert to fraction form
    35,113/52,669.50 = 10,489/x
  3. Step 3: Cross multiply
    35,113x = 52,669.50 × 10,489
  4. Step 4: Simplify right side
    35,113x = 552,450,385.50
  5. Step 5: Solve for x
    x = 552,450,385.50/35,113
  6. Step 6: Final answer
    x = 15,733.50

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Why These Related Problems?

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