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Finding the Fourth Proportional to 106,463.30, 159,695.01 and 59,748.98

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Solution

The fourth proportional to 106,463.30, 159,695.01 and 59,748.98 is: 89,623.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,463.30 : 159,695.01 = 59,748.98 : x
  2. Step 2: Convert to fraction form
    106,463.30/159,695.01 = 59,748.98/x
  3. Step 3: Cross multiply
    106,463.30x = 159,695.01 × 59,748.98
  4. Step 4: Simplify right side
    106,463.30x = 9,541,613,160.11
  5. Step 5: Solve for x
    x = 9,541,613,160.11/106,463.30
  6. Step 6: Final answer
    x = 89,623.50

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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.