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Finding the Fourth Proportional to 77,258.32, 106,633.12 and 47,053.60

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Solution

The fourth proportional to 77,258.32, 106,633.12 and 47,053.60 is: 64,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,258.32 : 106,633.12 = 47,053.60 : x
  2. Step 2: Convert to fraction form
    77,258.32/106,633.12 = 47,053.60/x
  3. Step 3: Cross multiply
    77,258.32x = 106,633.12 × 47,053.60
  4. Step 4: Simplify right side
    77,258.32x = 5,017,472,175.23
  5. Step 5: Solve for x
    x = 5,017,472,175.23/77,258.32
  6. Step 6: Final answer
    x = 64,944.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.