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Finding the Fourth Proportional to 50,530.64, 75,746.44 and 43,051.10

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Solution

The fourth proportional to 50,530.64, 75,746.44 and 43,051.10 is: 64,534.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,530.64 : 75,746.44 = 43,051.10 : x
  2. Step 2: Convert to fraction form
    50,530.64/75,746.44 = 43,051.10/x
  3. Step 3: Cross multiply
    50,530.64x = 75,746.44 × 43,051.10
  4. Step 4: Simplify right side
    50,530.64x = 3,260,967,238.17
  5. Step 5: Solve for x
    x = 3,260,967,238.17/50,530.64
  6. Step 6: Final answer
    x = 64,534.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.