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Finding the Fourth Proportional to 30,166.83, 45,256.32 and 10,444.95

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Solution

The fourth proportional to 30,166.83, 45,256.32 and 10,444.95 is: 15,669.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,166.83 : 45,256.32 = 10,444.95 : x
  2. Step 2: Convert to fraction form
    30,166.83/45,256.32 = 10,444.95/x
  3. Step 3: Cross multiply
    30,166.83x = 45,256.32 × 10,444.95
  4. Step 4: Simplify right side
    30,166.83x = 472,699,999.58
  5. Step 5: Solve for x
    x = 472,699,999.58/30,166.83
  6. Step 6: Final answer
    x = 15,669.53

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