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Finding the Fourth Proportional to 46,082.61, 69,123.87 and 14,495.45

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Solution

The fourth proportional to 46,082.61, 69,123.87 and 14,495.45 is: 21,743.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,082.61 : 69,123.87 = 14,495.45 : x
  2. Step 2: Convert to fraction form
    46,082.61/69,123.87 = 14,495.45/x
  3. Step 3: Cross multiply
    46,082.61x = 69,123.87 × 14,495.45
  4. Step 4: Simplify right side
    46,082.61x = 1,001,981,255.77
  5. Step 5: Solve for x
    x = 1,001,981,255.77/46,082.61
  6. Step 6: Final answer
    x = 21,743.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.