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Finding the Fourth Proportional to 100,411.26, 150,433.29 and 47,005.26

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Solution

The fourth proportional to 100,411.26, 150,433.29 and 47,005.26 is: 70,421.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,411.26 : 150,433.29 = 47,005.26 : x
  2. Step 2: Convert to fraction form
    100,411.26/150,433.29 = 47,005.26/x
  3. Step 3: Cross multiply
    100,411.26x = 150,433.29 × 47,005.26
  4. Step 4: Simplify right side
    100,411.26x = 7,071,155,909.11
  5. Step 5: Solve for x
    x = 7,071,155,909.11/100,411.26
  6. Step 6: Final answer
    x = 70,421.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.