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Finding the Fourth Proportional to 109,045.44, 163,501.16 and 42,407.88

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Solution

The fourth proportional to 109,045.44, 163,501.16 and 42,407.88 is: 63,585.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,045.44 : 163,501.16 = 42,407.88 : x
  2. Step 2: Convert to fraction form
    109,045.44/163,501.16 = 42,407.88/x
  3. Step 3: Cross multiply
    109,045.44x = 163,501.16 × 42,407.88
  4. Step 4: Simplify right side
    109,045.44x = 6,933,737,573.14
  5. Step 5: Solve for x
    x = 6,933,737,573.14/109,045.44
  6. Step 6: Final answer
    x = 63,585.76

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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.