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Finding the Fourth Proportional to 77,416.64, 106,854.72 and 43,902.08

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Solution

The fourth proportional to 77,416.64, 106,854.72 and 43,902.08 is: 60,596.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,416.64 : 106,854.72 = 43,902.08 : x
  2. Step 2: Convert to fraction form
    77,416.64/106,854.72 = 43,902.08/x
  3. Step 3: Cross multiply
    77,416.64x = 106,854.72 × 43,902.08
  4. Step 4: Simplify right side
    77,416.64x = 4,691,144,465.82
  5. Step 5: Solve for x
    x = 4,691,144,465.82/77,416.64
  6. Step 6: Final answer
    x = 60,596.07

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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.