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Finding the Fourth Proportional to 76,876.63, 106,139.16 and 48,235.60

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Solution

The fourth proportional to 76,876.63, 106,139.16 and 48,235.60 is: 66,596.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,876.63 : 106,139.16 = 48,235.60 : x
  2. Step 2: Convert to fraction form
    76,876.63/106,139.16 = 48,235.60/x
  3. Step 3: Cross multiply
    76,876.63x = 106,139.16 × 48,235.60
  4. Step 4: Simplify right side
    76,876.63x = 5,119,686,198.77
  5. Step 5: Solve for x
    x = 5,119,686,198.77/76,876.63
  6. Step 6: Final answer
    x = 66,596.13

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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.