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Finding the Fourth Proportional to 35,834.67, 53,752.95 and 9,539.46

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Solution

The fourth proportional to 35,834.67, 53,752.95 and 9,539.46 is: 14,309.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,834.67 : 53,752.95 = 9,539.46 : x
  2. Step 2: Convert to fraction form
    35,834.67/53,752.95 = 9,539.46/x
  3. Step 3: Cross multiply
    35,834.67x = 53,752.95 × 9,539.46
  4. Step 4: Simplify right side
    35,834.67x = 512,774,116.41
  5. Step 5: Solve for x
    x = 512,774,116.41/35,834.67
  6. Step 6: Final answer
    x = 14,309.44

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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.