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Finding the Fourth Proportional to 34,900.49, 52,350 and 8,605.46

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Solution

The fourth proportional to 34,900.49, 52,350 and 8,605.46 is: 12,908.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,900.49 : 52,350 = 8,605.46 : x
  2. Step 2: Convert to fraction form
    34,900.49/52,350 = 8,605.46/x
  3. Step 3: Cross multiply
    34,900.49x = 52,350 × 8,605.46
  4. Step 4: Simplify right side
    34,900.49x = 450,495,569.25
  5. Step 5: Solve for x
    x = 450,495,569.25/34,900.49
  6. Step 6: Final answer
    x = 12,908.00

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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.