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Finding the Fourth Proportional to 77,082.34, 106,390.77 and 46,861.25

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Solution

The fourth proportional to 77,082.34, 106,390.77 and 46,861.25 is: 64,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,082.34 : 106,390.77 = 46,861.25 : x
  2. Step 2: Convert to fraction form
    77,082.34/106,390.77 = 46,861.25/x
  3. Step 3: Cross multiply
    77,082.34x = 106,390.77 × 46,861.25
  4. Step 4: Simplify right side
    77,082.34x = 4,985,604,470.66
  5. Step 5: Solve for x
    x = 4,985,604,470.66/77,082.34
  6. Step 6: Final answer
    x = 64,678.95

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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.