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Finding the Fourth Proportional to 102,611.93, 153,933.28 and 36,040.32

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Solution

The fourth proportional to 102,611.93, 153,933.28 and 36,040.32 is: 54,065.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,611.93 : 153,933.28 = 36,040.32 : x
  2. Step 2: Convert to fraction form
    102,611.93/153,933.28 = 36,040.32/x
  3. Step 3: Cross multiply
    102,611.93x = 153,933.28 × 36,040.32
  4. Step 4: Simplify right side
    102,611.93x = 5,547,804,579.75
  5. Step 5: Solve for x
    x = 5,547,804,579.75/102,611.93
  6. Step 6: Final answer
    x = 54,065.89

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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.