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Finding the Fourth Proportional to 70,505.13, 105,726.57 and 33,035.00

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Solution

The fourth proportional to 70,505.13, 105,726.57 and 33,035.00 is: 49,537.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.13 : 105,726.57 = 33,035.00 : x
  2. Step 2: Convert to fraction form
    70,505.13/105,726.57 = 33,035.00/x
  3. Step 3: Cross multiply
    70,505.13x = 105,726.57 × 33,035.00
  4. Step 4: Simplify right side
    70,505.13x = 3,492,676,587.44
  5. Step 5: Solve for x
    x = 3,492,676,587.44/70,505.13
  6. Step 6: Final answer
    x = 49,537.90

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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.