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Finding the Fourth Proportional to 43,342.50, 65,038.05 and 43,012.02

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Solution

The fourth proportional to 43,342.50, 65,038.05 and 43,012.02 is: 64,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,342.50 : 65,038.05 = 43,012.02 : x
  2. Step 2: Convert to fraction form
    43,342.50/65,038.05 = 43,012.02/x
  3. Step 3: Cross multiply
    43,342.50x = 65,038.05 × 43,012.02
  4. Step 4: Simplify right side
    43,342.50x = 2,797,417,907.36
  5. Step 5: Solve for x
    x = 2,797,417,907.36/43,342.50
  6. Step 6: Final answer
    x = 64,542.14

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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.