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Finding the Fourth Proportional to 77,038.70, 106,346.14 and 46,833.67

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Solution

The fourth proportional to 77,038.70, 106,346.14 and 46,833.67 is: 64,650.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,038.70 : 106,346.14 = 46,833.67 : x
  2. Step 2: Convert to fraction form
    77,038.70/106,346.14 = 46,833.67/x
  3. Step 3: Cross multiply
    77,038.70x = 106,346.14 × 46,833.67
  4. Step 4: Simplify right side
    77,038.70x = 4,980,579,494.80
  5. Step 5: Solve for x
    x = 4,980,579,494.80/77,038.70
  6. Step 6: Final answer
    x = 64,650.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.