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Finding the Fourth Proportional to 76,564.16, 114,854.88 and 35,000

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Solution

The fourth proportional to 76,564.16, 114,854.88 and 35,000 is: 52,503.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,564.16 : 114,854.88 = 35,000 : x
  2. Step 2: Convert to fraction form
    76,564.16/114,854.88 = 35,000/x
  3. Step 3: Cross multiply
    76,564.16x = 114,854.88 × 35,000
  4. Step 4: Simplify right side
    76,564.16x = 4,019,920,800
  5. Step 5: Solve for x
    x = 4,019,920,800/76,564.16
  6. Step 6: Final answer
    x = 52,503.95

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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.