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Finding the Fourth Proportional to 77,705.93, 106,769.49 and 61,762.70

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Solution

The fourth proportional to 77,705.93, 106,769.49 and 61,762.70 is: 84,863.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,705.93 : 106,769.49 = 61,762.70 : x
  2. Step 2: Convert to fraction form
    77,705.93/106,769.49 = 61,762.70/x
  3. Step 3: Cross multiply
    77,705.93x = 106,769.49 × 61,762.70
  4. Step 4: Simplify right side
    77,705.93x = 6,594,372,362.75
  5. Step 5: Solve for x
    x = 6,594,372,362.75/77,705.93
  6. Step 6: Final answer
    x = 84,863.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.