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Finding the Fourth Proportional to 34,406.61, 51,610 and 9,447

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Solution

The fourth proportional to 34,406.61, 51,610 and 9,447 is: 14,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,406.61 : 51,610 = 9,447 : x
  2. Step 2: Convert to fraction form
    34,406.61/51,610 = 9,447/x
  3. Step 3: Cross multiply
    34,406.61x = 51,610 × 9,447
  4. Step 4: Simplify right side
    34,406.61x = 487,559,670
  5. Step 5: Solve for x
    x = 487,559,670/34,406.61
  6. Step 6: Final answer
    x = 14,170.52

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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.