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Finding the Fourth Proportional to 105,032.08, 157,502.04 and 39,322

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Solution

The fourth proportional to 105,032.08, 157,502.04 and 39,322 is: 58,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,032.08 : 157,502.04 = 39,322 : x
  2. Step 2: Convert to fraction form
    105,032.08/157,502.04 = 39,322/x
  3. Step 3: Cross multiply
    105,032.08x = 157,502.04 × 39,322
  4. Step 4: Simplify right side
    105,032.08x = 6,193,295,216.88
  5. Step 5: Solve for x
    x = 6,193,295,216.88/105,032.08
  6. Step 6: Final answer
    x = 58,965.75

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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.