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Finding the Fourth Proportional to 31,607.61, 47,308.54 and 23,284.35

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Solution

The fourth proportional to 31,607.61, 47,308.54 and 23,284.35 is: 34,850.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,607.61 : 47,308.54 = 23,284.35 : x
  2. Step 2: Convert to fraction form
    31,607.61/47,308.54 = 23,284.35/x
  3. Step 3: Cross multiply
    31,607.61x = 47,308.54 × 23,284.35
  4. Step 4: Simplify right side
    31,607.61x = 1,101,548,603.35
  5. Step 5: Solve for x
    x = 1,101,548,603.35/31,607.61
  6. Step 6: Final answer
    x = 34,850.74

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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.