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Finding the Fourth Proportional to 105,047.08, 157,566.52 and 30,166.93

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Solution

The fourth proportional to 105,047.08, 157,566.52 and 30,166.93 is: 45,249.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,047.08 : 157,566.52 = 30,166.93 : x
  2. Step 2: Convert to fraction form
    105,047.08/157,566.52 = 30,166.93/x
  3. Step 3: Cross multiply
    105,047.08x = 157,566.52 × 30,166.93
  4. Step 4: Simplify right side
    105,047.08x = 4,753,298,244.16
  5. Step 5: Solve for x
    x = 4,753,298,244.16/105,047.08
  6. Step 6: Final answer
    x = 45,249.22

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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.