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Finding the Fourth Proportional to 76,876.32, 106,047 and 48,189.84

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Solution

The fourth proportional to 76,876.32, 106,047 and 48,189.84 is: 66,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.32 : 106,047 = 48,189.84 : x
  2. Step 2: Convert to fraction form
    76,876.32/106,047 = 48,189.84/x
  3. Step 3: Cross multiply
    76,876.32x = 106,047 × 48,189.84
  4. Step 4: Simplify right side
    76,876.32x = 5,110,387,962.48
  5. Step 5: Solve for x
    x = 5,110,387,962.48/76,876.32
  6. Step 6: Final answer
    x = 66,475.45

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1.5x scale

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.