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Finding the Fourth Proportional to 69,784.93, 96,307.14 and 37,953.19

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Solution

The fourth proportional to 69,784.93, 96,307.14 and 37,953.19 is: 52,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,784.93 : 96,307.14 = 37,953.19 : x
  2. Step 2: Convert to fraction form
    69,784.93/96,307.14 = 37,953.19/x
  3. Step 3: Cross multiply
    69,784.93x = 96,307.14 × 37,953.19
  4. Step 4: Simplify right side
    69,784.93x = 3,655,163,182.78
  5. Step 5: Solve for x
    x = 3,655,163,182.78/69,784.93
  6. Step 6: Final answer
    x = 52,377.54

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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.