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Finding the Fourth Proportional to 109,294.08, 163,908.72 and 46,950

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Solution

The fourth proportional to 109,294.08, 163,908.72 and 46,950 is: 70,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,294.08 : 163,908.72 = 46,950 : x
  2. Step 2: Convert to fraction form
    109,294.08/163,908.72 = 46,950/x
  3. Step 3: Cross multiply
    109,294.08x = 163,908.72 × 46,950
  4. Step 4: Simplify right side
    109,294.08x = 7,695,514,404
  5. Step 5: Solve for x
    x = 7,695,514,404/109,294.08
  6. Step 6: Final answer
    x = 70,411.08

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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.