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Finding the Fourth Proportional to 56,272.74, 77,653.53 and 31,117.38

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Solution

The fourth proportional to 56,272.74, 77,653.53 and 31,117.38 is: 42,940.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,272.74 : 77,653.53 = 31,117.38 : x
  2. Step 2: Convert to fraction form
    56,272.74/77,653.53 = 31,117.38/x
  3. Step 3: Cross multiply
    56,272.74x = 77,653.53 × 31,117.38
  4. Step 4: Simplify right side
    56,272.74x = 2,416,374,401.35
  5. Step 5: Solve for x
    x = 2,416,374,401.35/56,272.74
  6. Step 6: Final answer
    x = 42,940.41

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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.