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Finding the Fourth Proportional to 76,184, 105,099.03 and 49,335.16

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Solution

The fourth proportional to 76,184, 105,099.03 and 49,335.16 is: 68,059.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,184 : 105,099.03 = 49,335.16 : x
  2. Step 2: Convert to fraction form
    76,184/105,099.03 = 49,335.16/x
  3. Step 3: Cross multiply
    76,184x = 105,099.03 × 49,335.16
  4. Step 4: Simplify right side
    76,184x = 5,185,076,935.40
  5. Step 5: Solve for x
    x = 5,185,076,935.40/76,184
  6. Step 6: Final answer
    x = 68,059.92

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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.