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Finding the Fourth Proportional to 109,492.96, 164,196 and 37,427.92

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Solution

The fourth proportional to 109,492.96, 164,196 and 37,427.92 is: 56,127.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,492.96 : 164,196 = 37,427.92 : x
  2. Step 2: Convert to fraction form
    109,492.96/164,196 = 37,427.92/x
  3. Step 3: Cross multiply
    109,492.96x = 164,196 × 37,427.92
  4. Step 4: Simplify right side
    109,492.96x = 6,145,514,752.32
  5. Step 5: Solve for x
    x = 6,145,514,752.32/109,492.96
  6. Step 6: Final answer
    x = 56,127.03

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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.