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Finding the Fourth Proportional to 101,587.16, 152,405.16 and 31,466.48

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Solution

The fourth proportional to 101,587.16, 152,405.16 and 31,466.48 is: 47,207.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,587.16 : 152,405.16 = 31,466.48 : x
  2. Step 2: Convert to fraction form
    101,587.16/152,405.16 = 31,466.48/x
  3. Step 3: Cross multiply
    101,587.16x = 152,405.16 × 31,466.48
  4. Step 4: Simplify right side
    101,587.16x = 4,795,653,919.04
  5. Step 5: Solve for x
    x = 4,795,653,919.04/101,587.16
  6. Step 6: Final answer
    x = 47,207.28

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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.