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Finding the Fourth Proportional to 84,547.48, 126,830.94 and 49,487.44

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Solution

The fourth proportional to 84,547.48, 126,830.94 and 49,487.44 is: 74,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,547.48 : 126,830.94 = 49,487.44 : x
  2. Step 2: Convert to fraction form
    84,547.48/126,830.94 = 49,487.44/x
  3. Step 3: Cross multiply
    84,547.48x = 126,830.94 × 49,487.44
  4. Step 4: Simplify right side
    84,547.48x = 6,276,538,533.39
  5. Step 5: Solve for x
    x = 6,276,538,533.39/84,547.48
  6. Step 6: Final answer
    x = 74,236.85

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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.