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Finding the Fourth Proportional to 69,875, 96,429.21 and 38,045.63

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Solution

The fourth proportional to 69,875, 96,429.21 and 38,045.63 is: 52,503.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,875 : 96,429.21 = 38,045.63 : x
  2. Step 2: Convert to fraction form
    69,875/96,429.21 = 38,045.63/x
  3. Step 3: Cross multiply
    69,875x = 96,429.21 × 38,045.63
  4. Step 4: Simplify right side
    69,875x = 3,668,710,044.85
  5. Step 5: Solve for x
    x = 3,668,710,044.85/69,875
  6. Step 6: Final answer
    x = 52,503.90

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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.