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Finding the Fourth Proportional to 35,466.15, 53,200.16 and 9,170.82

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Solution

The fourth proportional to 35,466.15, 53,200.16 and 9,170.82 is: 13,756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,466.15 : 53,200.16 = 9,170.82 : x
  2. Step 2: Convert to fraction form
    35,466.15/53,200.16 = 9,170.82/x
  3. Step 3: Cross multiply
    35,466.15x = 53,200.16 × 9,170.82
  4. Step 4: Simplify right side
    35,466.15x = 487,889,045.48
  5. Step 5: Solve for x
    x = 487,889,045.48/35,466.15
  6. Step 6: Final answer
    x = 13,756.47

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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.