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Finding the Fourth Proportional to 55,643.62, 76,785.69 and 30,492.58

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Solution

The fourth proportional to 55,643.62, 76,785.69 and 30,492.58 is: 42,078.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.62 : 76,785.69 = 30,492.58 : x
  2. Step 2: Convert to fraction form
    55,643.62/76,785.69 = 30,492.58/x
  3. Step 3: Cross multiply
    55,643.62x = 76,785.69 × 30,492.58
  4. Step 4: Simplify right side
    55,643.62x = 2,341,393,795.18
  5. Step 5: Solve for x
    x = 2,341,393,795.18/55,643.62
  6. Step 6: Final answer
    x = 42,078.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.