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Finding the Fourth Proportional to 100,580.16, 150,741.91 and 47,154.29

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Solution

The fourth proportional to 100,580.16, 150,741.91 and 47,154.29 is: 70,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,580.16 : 150,741.91 = 47,154.29 : x
  2. Step 2: Convert to fraction form
    100,580.16/150,741.91 = 47,154.29/x
  3. Step 3: Cross multiply
    100,580.16x = 150,741.91 × 47,154.29
  4. Step 4: Simplify right side
    100,580.16x = 7,108,127,044.53
  5. Step 5: Solve for x
    x = 7,108,127,044.53/100,580.16
  6. Step 6: Final answer
    x = 70,671.26

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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.