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Finding the Fourth Proportional to 59,430.36, 82,014.56 and 32,574

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Solution

The fourth proportional to 59,430.36, 82,014.56 and 32,574 is: 44,952.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,430.36 : 82,014.56 = 32,574 : x
  2. Step 2: Convert to fraction form
    59,430.36/82,014.56 = 32,574/x
  3. Step 3: Cross multiply
    59,430.36x = 82,014.56 × 32,574
  4. Step 4: Simplify right side
    59,430.36x = 2,671,542,277.44
  5. Step 5: Solve for x
    x = 2,671,542,277.44/59,430.36
  6. Step 6: Final answer
    x = 44,952.48

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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.