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Finding the Fourth Proportional to 76,182.63, 105,097.13 and 49,333.78

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Solution

The fourth proportional to 76,182.63, 105,097.13 and 49,333.78 is: 68,058.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,182.63 : 105,097.13 = 49,333.78 : x
  2. Step 2: Convert to fraction form
    76,182.63/105,097.13 = 49,333.78/x
  3. Step 3: Cross multiply
    76,182.63x = 105,097.13 × 49,333.78
  4. Step 4: Simplify right side
    76,182.63x = 5,184,838,690.05
  5. Step 5: Solve for x
    x = 5,184,838,690.05/76,182.63
  6. Step 6: Final answer
    x = 68,058.02

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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.