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Finding the Fourth Proportional to 67,902, 93,707.64 and 38,094

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Solution

The fourth proportional to 67,902, 93,707.64 and 38,094 is: 52,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,902 : 93,707.64 = 38,094 : x
  2. Step 2: Convert to fraction form
    67,902/93,707.64 = 38,094/x
  3. Step 3: Cross multiply
    67,902x = 93,707.64 × 38,094
  4. Step 4: Simplify right side
    67,902x = 3,569,698,838.16
  5. Step 5: Solve for x
    x = 3,569,698,838.16/67,902
  6. Step 6: Final answer
    x = 52,571.34

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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.