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Finding the Fourth Proportional to 109,031.50, 163,547.25 and 29,069.72

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Solution

The fourth proportional to 109,031.50, 163,547.25 and 29,069.72 is: 43,604.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,031.50 : 163,547.25 = 29,069.72 : x
  2. Step 2: Convert to fraction form
    109,031.50/163,547.25 = 29,069.72/x
  3. Step 3: Cross multiply
    109,031.50x = 163,547.25 × 29,069.72
  4. Step 4: Simplify right side
    109,031.50x = 4,754,272,764.27
  5. Step 5: Solve for x
    x = 4,754,272,764.27/109,031.50
  6. Step 6: Final answer
    x = 43,604.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.