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Finding the Fourth Proportional to 109,005, 163,502.90 and 37,943.83

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Solution

The fourth proportional to 109,005, 163,502.90 and 37,943.83 is: 56,914.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,005 : 163,502.90 = 37,943.83 : x
  2. Step 2: Convert to fraction form
    109,005/163,502.90 = 37,943.83/x
  3. Step 3: Cross multiply
    109,005x = 163,502.90 × 37,943.83
  4. Step 4: Simplify right side
    109,005x = 6,203,926,242.11
  5. Step 5: Solve for x
    x = 6,203,926,242.11/109,005
  6. Step 6: Final answer
    x = 56,914.14

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1.5x scale

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.