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Finding the Fourth Proportional to 75,658.05, 113,484.65 and 31,271.67

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Solution

The fourth proportional to 75,658.05, 113,484.65 and 31,271.67 is: 46,906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,658.05 : 113,484.65 = 31,271.67 : x
  2. Step 2: Convert to fraction form
    75,658.05/113,484.65 = 31,271.67/x
  3. Step 3: Cross multiply
    75,658.05x = 113,484.65 × 31,271.67
  4. Step 4: Simplify right side
    75,658.05x = 3,548,854,368.51
  5. Step 5: Solve for x
    x = 3,548,854,368.51/75,658.05
  6. Step 6: Final answer
    x = 46,906.50

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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.