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Finding the Fourth Proportional to 92,457.52, 127,584.12 and 52,181.08

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Solution

The fourth proportional to 92,457.52, 127,584.12 and 52,181.08 is: 72,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,457.52 : 127,584.12 = 52,181.08 : x
  2. Step 2: Convert to fraction form
    92,457.52/127,584.12 = 52,181.08/x
  3. Step 3: Cross multiply
    92,457.52x = 127,584.12 × 52,181.08
  4. Step 4: Simplify right side
    92,457.52x = 6,657,477,172.45
  5. Step 5: Solve for x
    x = 6,657,477,172.45/92,457.52
  6. Step 6: Final answer
    x = 72,005.79

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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.