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Finding the Fourth Proportional to 86,752, 119,717.76 and 47,008

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Solution

The fourth proportional to 86,752, 119,717.76 and 47,008 is: 64,871.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,752 : 119,717.76 = 47,008 : x
  2. Step 2: Convert to fraction form
    86,752/119,717.76 = 47,008/x
  3. Step 3: Cross multiply
    86,752x = 119,717.76 × 47,008
  4. Step 4: Simplify right side
    86,752x = 5,627,692,462.08
  5. Step 5: Solve for x
    x = 5,627,692,462.08/86,752
  6. Step 6: Final answer
    x = 64,871.04

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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.