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Finding the Fourth Proportional to 70,160.22, 105,243.98 and 35,088.03

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Solution

The fourth proportional to 70,160.22, 105,243.98 and 35,088.03 is: 52,633.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160.22 : 105,243.98 = 35,088.03 : x
  2. Step 2: Convert to fraction form
    70,160.22/105,243.98 = 35,088.03/x
  3. Step 3: Cross multiply
    70,160.22x = 105,243.98 × 35,088.03
  4. Step 4: Simplify right side
    70,160.22x = 3,692,803,752.12
  5. Step 5: Solve for x
    x = 3,692,803,752.12/70,160.22
  6. Step 6: Final answer
    x = 52,633.87

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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.