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Finding the Fourth Proportional to 55,492.75, 76,587.50 and 31,298.69

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Solution

The fourth proportional to 55,492.75, 76,587.50 and 31,298.69 is: 43,196.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,492.75 : 76,587.50 = 31,298.69 : x
  2. Step 2: Convert to fraction form
    55,492.75/76,587.50 = 31,298.69/x
  3. Step 3: Cross multiply
    55,492.75x = 76,587.50 × 31,298.69
  4. Step 4: Simplify right side
    55,492.75x = 2,397,088,420.38
  5. Step 5: Solve for x
    x = 2,397,088,420.38/55,492.75
  6. Step 6: Final answer
    x = 43,196.43

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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.