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Finding the Fourth Proportional to 77,352.24, 106,742.48 and 43,818.48

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Solution

The fourth proportional to 77,352.24, 106,742.48 and 43,818.48 is: 60,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,352.24 : 106,742.48 = 43,818.48 : x
  2. Step 2: Convert to fraction form
    77,352.24/106,742.48 = 43,818.48/x
  3. Step 3: Cross multiply
    77,352.24x = 106,742.48 × 43,818.48
  4. Step 4: Simplify right side
    77,352.24x = 4,677,293,225.03
  5. Step 5: Solve for x
    x = 4,677,293,225.03/77,352.24
  6. Step 6: Final answer
    x = 60,467.46

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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.