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Finding the Fourth Proportional to 76,962.38, 106,200.72 and 42,968.16

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Solution

The fourth proportional to 76,962.38, 106,200.72 and 42,968.16 is: 59,291.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,962.38 : 106,200.72 = 42,968.16 : x
  2. Step 2: Convert to fraction form
    76,962.38/106,200.72 = 42,968.16/x
  3. Step 3: Cross multiply
    76,962.38x = 106,200.72 × 42,968.16
  4. Step 4: Simplify right side
    76,962.38x = 4,563,249,529.08
  5. Step 5: Solve for x
    x = 4,563,249,529.08/76,962.38
  6. Step 6: Final answer
    x = 59,291.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.