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Finding the Fourth Proportional to 77,225.83, 106,539.98 and 46,986.91

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Solution

The fourth proportional to 77,225.83, 106,539.98 and 46,986.91 is: 64,822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,225.83 : 106,539.98 = 46,986.91 : x
  2. Step 2: Convert to fraction form
    77,225.83/106,539.98 = 46,986.91/x
  3. Step 3: Cross multiply
    77,225.83x = 106,539.98 × 46,986.91
  4. Step 4: Simplify right side
    77,225.83x = 5,005,983,950.38
  5. Step 5: Solve for x
    x = 5,005,983,950.38/77,225.83
  6. Step 6: Final answer
    x = 64,822.67

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Why These Related Problems?

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