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Finding the Fourth Proportional to 83,307.74, 114,961.82 and 47,509.27

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Solution

The fourth proportional to 83,307.74, 114,961.82 and 47,509.27 is: 65,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,307.74 : 114,961.82 = 47,509.27 : x
  2. Step 2: Convert to fraction form
    83,307.74/114,961.82 = 47,509.27/x
  3. Step 3: Cross multiply
    83,307.74x = 114,961.82 × 47,509.27
  4. Step 4: Simplify right side
    83,307.74x = 5,461,751,621.12
  5. Step 5: Solve for x
    x = 5,461,751,621.12/83,307.74
  6. Step 6: Final answer
    x = 65,561.16

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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.