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Finding the Fourth Proportional to 77,569.16, 116,353.76 and 22,165.16

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Solution

The fourth proportional to 77,569.16, 116,353.76 and 22,165.16 is: 33,247.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,569.16 : 116,353.76 = 22,165.16 : x
  2. Step 2: Convert to fraction form
    77,569.16/116,353.76 = 22,165.16/x
  3. Step 3: Cross multiply
    77,569.16x = 116,353.76 × 22,165.16
  4. Step 4: Simplify right side
    77,569.16x = 2,578,999,707.00
  5. Step 5: Solve for x
    x = 2,578,999,707.00/77,569.16
  6. Step 6: Final answer
    x = 33,247.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.