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Finding the Fourth Proportional to 98,827.38, 148,055.06 and 48,848.96

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Solution

The fourth proportional to 98,827.38, 148,055.06 and 48,848.96 is: 73,181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,827.38 : 148,055.06 = 48,848.96 : x
  2. Step 2: Convert to fraction form
    98,827.38/148,055.06 = 48,848.96/x
  3. Step 3: Cross multiply
    98,827.38x = 148,055.06 × 48,848.96
  4. Step 4: Simplify right side
    98,827.38x = 7,232,336,196.00
  5. Step 5: Solve for x
    x = 7,232,336,196.00/98,827.38
  6. Step 6: Final answer
    x = 73,181.50

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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.