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Finding the Fourth Proportional to 107,802.44, 161,726.06 and 45,473.48

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Solution

The fourth proportional to 107,802.44, 161,726.06 and 45,473.48 is: 68,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,802.44 : 161,726.06 = 45,473.48 : x
  2. Step 2: Convert to fraction form
    107,802.44/161,726.06 = 45,473.48/x
  3. Step 3: Cross multiply
    107,802.44x = 161,726.06 × 45,473.48
  4. Step 4: Simplify right side
    107,802.44x = 7,354,246,754.89
  5. Step 5: Solve for x
    x = 7,354,246,754.89/107,802.44
  6. Step 6: Final answer
    x = 68,219.67

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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.