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Finding the Fourth Proportional to 32,125.98, 47,970.31 and 28,346.26

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Solution

The fourth proportional to 32,125.98, 47,970.31 and 28,346.26 is: 42,326.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,125.98 : 47,970.31 = 28,346.26 : x
  2. Step 2: Convert to fraction form
    32,125.98/47,970.31 = 28,346.26/x
  3. Step 3: Cross multiply
    32,125.98x = 47,970.31 × 28,346.26
  4. Step 4: Simplify right side
    32,125.98x = 1,359,778,879.54
  5. Step 5: Solve for x
    x = 1,359,778,879.54/32,125.98
  6. Step 6: Final answer
    x = 42,326.46

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.