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Finding the Fourth Proportional to 53,511.64, 73,838.18 and 30,848.84

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Solution

The fourth proportional to 53,511.64, 73,838.18 and 30,848.84 is: 42,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,511.64 : 73,838.18 = 30,848.84 : x
  2. Step 2: Convert to fraction form
    53,511.64/73,838.18 = 30,848.84/x
  3. Step 3: Cross multiply
    53,511.64x = 73,838.18 × 30,848.84
  4. Step 4: Simplify right side
    53,511.64x = 2,277,822,200.71
  5. Step 5: Solve for x
    x = 2,277,822,200.71/53,511.64
  6. Step 6: Final answer
    x = 42,566.85

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