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Finding the Fourth Proportional to 68,695.94, 103,054.23 and 24,323.13

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Solution

The fourth proportional to 68,695.94, 103,054.23 and 24,323.13 is: 36,488.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,695.94 : 103,054.23 = 24,323.13 : x
  2. Step 2: Convert to fraction form
    68,695.94/103,054.23 = 24,323.13/x
  3. Step 3: Cross multiply
    68,695.94x = 103,054.23 × 24,323.13
  4. Step 4: Simplify right side
    68,695.94x = 2,506,601,433.34
  5. Step 5: Solve for x
    x = 2,506,601,433.34/68,695.94
  6. Step 6: Final answer
    x = 36,488.35

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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.