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Finding the Fourth Proportional to 76,568.16, 114,860.88 and 35,004

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Solution

The fourth proportional to 76,568.16, 114,860.88 and 35,004 is: 52,509.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,568.16 : 114,860.88 = 35,004 : x
  2. Step 2: Convert to fraction form
    76,568.16/114,860.88 = 35,004/x
  3. Step 3: Cross multiply
    76,568.16x = 114,860.88 × 35,004
  4. Step 4: Simplify right side
    76,568.16x = 4,020,590,243.52
  5. Step 5: Solve for x
    x = 4,020,590,243.52/76,568.16
  6. Step 6: Final answer
    x = 52,509.95

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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.