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Finding the Fourth Proportional to 97,653.60, 146,474.19 and 31,141.44

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Solution

The fourth proportional to 97,653.60, 146,474.19 and 31,141.44 is: 46,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,653.60 : 146,474.19 = 31,141.44 : x
  2. Step 2: Convert to fraction form
    97,653.60/146,474.19 = 31,141.44/x
  3. Step 3: Cross multiply
    97,653.60x = 146,474.19 × 31,141.44
  4. Step 4: Simplify right side
    97,653.60x = 4,561,417,199.43
  5. Step 5: Solve for x
    x = 4,561,417,199.43/97,653.60
  6. Step 6: Final answer
    x = 46,710.18

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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.