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Finding the Fourth Proportional to 109,572, 164,370.96 and 35,700

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Solution

The fourth proportional to 109,572, 164,370.96 and 35,700 is: 53,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,572 : 164,370.96 = 35,700 : x
  2. Step 2: Convert to fraction form
    109,572/164,370.96 = 35,700/x
  3. Step 3: Cross multiply
    109,572x = 164,370.96 × 35,700
  4. Step 4: Simplify right side
    109,572x = 5,868,043,272
  5. Step 5: Solve for x
    x = 5,868,043,272/109,572
  6. Step 6: Final answer
    x = 53,554.22

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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.