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Finding the Fourth Proportional to 73,595.76, 109,828.06 and 65,722.16

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Solution

The fourth proportional to 73,595.76, 109,828.06 and 65,722.16 is: 98,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,595.76 : 109,828.06 = 65,722.16 : x
  2. Step 2: Convert to fraction form
    73,595.76/109,828.06 = 65,722.16/x
  3. Step 3: Cross multiply
    73,595.76x = 109,828.06 × 65,722.16
  4. Step 4: Simplify right side
    73,595.76x = 7,218,137,331.81
  5. Step 5: Solve for x
    x = 7,218,137,331.81/73,595.76
  6. Step 6: Final answer
    x = 98,078.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.