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Finding the Fourth Proportional to 59,968.12, 89,978.70 and 31,498.38

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Solution

The fourth proportional to 59,968.12, 89,978.70 and 31,498.38 is: 47,261.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,968.12 : 89,978.70 = 31,498.38 : x
  2. Step 2: Convert to fraction form
    59,968.12/89,978.70 = 31,498.38/x
  3. Step 3: Cross multiply
    59,968.12x = 89,978.70 × 31,498.38
  4. Step 4: Simplify right side
    59,968.12x = 2,834,183,284.51
  5. Step 5: Solve for x
    x = 2,834,183,284.51/59,968.12
  6. Step 6: Final answer
    x = 47,261.50

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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.