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Finding the Fourth Proportional to 76,509.68, 114,717.54 and 26,568.32

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Solution

The fourth proportional to 76,509.68, 114,717.54 and 26,568.32 is: 39,836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,509.68 : 114,717.54 = 26,568.32 : x
  2. Step 2: Convert to fraction form
    76,509.68/114,717.54 = 26,568.32/x
  3. Step 3: Cross multiply
    76,509.68x = 114,717.54 × 26,568.32
  4. Step 4: Simplify right side
    76,509.68x = 3,047,852,312.33
  5. Step 5: Solve for x
    x = 3,047,852,312.33/76,509.68
  6. Step 6: Final answer
    x = 39,836.17

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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.