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Finding the Fourth Proportional to 86,746.32, 119,717.64 and 54,503.28

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Solution

The fourth proportional to 86,746.32, 119,717.64 and 54,503.28 is: 75,219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,746.32 : 119,717.64 = 54,503.28 : x
  2. Step 2: Convert to fraction form
    86,746.32/119,717.64 = 54,503.28/x
  3. Step 3: Cross multiply
    86,746.32x = 119,717.64 × 54,503.28
  4. Step 4: Simplify right side
    86,746.32x = 6,525,004,053.86
  5. Step 5: Solve for x
    x = 6,525,004,053.86/86,746.32
  6. Step 6: Final answer
    x = 75,219.38

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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.