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Finding the Fourth Proportional to 100,662.66, 151,015.77 and 30,547.26

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Solution

The fourth proportional to 100,662.66, 151,015.77 and 30,547.26 is: 45,827.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,662.66 : 151,015.77 = 30,547.26 : x
  2. Step 2: Convert to fraction form
    100,662.66/151,015.77 = 30,547.26/x
  3. Step 3: Cross multiply
    100,662.66x = 151,015.77 × 30,547.26
  4. Step 4: Simplify right side
    100,662.66x = 4,613,117,990.29
  5. Step 5: Solve for x
    x = 4,613,117,990.29/100,662.66
  6. Step 6: Final answer
    x = 45,827.50

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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.