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Finding the Fourth Proportional to 69,875.33, 96,429.69 and 38,045.98

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Solution

The fourth proportional to 69,875.33, 96,429.69 and 38,045.98 is: 52,504.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,875.33 : 96,429.69 = 38,045.98 : x
  2. Step 2: Convert to fraction form
    69,875.33/96,429.69 = 38,045.98/x
  3. Step 3: Cross multiply
    69,875.33x = 96,429.69 × 38,045.98
  4. Step 4: Simplify right side
    69,875.33x = 3,668,762,057.15
  5. Step 5: Solve for x
    x = 3,668,762,057.15/69,875.33
  6. Step 6: Final answer
    x = 52,504.40

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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.