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Finding the Fourth Proportional to 105,502.91, 158,269.93 and 30,613.32

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Solution

The fourth proportional to 105,502.91, 158,269.93 and 30,613.32 is: 45,924.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,502.91 : 158,269.93 = 30,613.32 : x
  2. Step 2: Convert to fraction form
    105,502.91/158,269.93 = 30,613.32/x
  3. Step 3: Cross multiply
    105,502.91x = 158,269.93 × 30,613.32
  4. Step 4: Simplify right side
    105,502.91x = 4,845,168,197.06
  5. Step 5: Solve for x
    x = 4,845,168,197.06/105,502.91
  6. Step 6: Final answer
    x = 45,924.50

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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.