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Finding the Fourth Proportional to 77,225.60, 106,574.40 and 47,427.20

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Solution

The fourth proportional to 77,225.60, 106,574.40 and 47,427.20 is: 65,451.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,225.60 : 106,574.40 = 47,427.20 : x
  2. Step 2: Convert to fraction form
    77,225.60/106,574.40 = 47,427.20/x
  3. Step 3: Cross multiply
    77,225.60x = 106,574.40 × 47,427.20
  4. Step 4: Simplify right side
    77,225.60x = 5,054,525,383.68
  5. Step 5: Solve for x
    x = 5,054,525,383.68/77,225.60
  6. Step 6: Final answer
    x = 65,451.42

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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.