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Finding the Fourth Proportional to 28,034.16, 42,051.24 and 15,730.80

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Solution

The fourth proportional to 28,034.16, 42,051.24 and 15,730.80 is: 23,596.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,034.16 : 42,051.24 = 15,730.80 : x
  2. Step 2: Convert to fraction form
    28,034.16/42,051.24 = 15,730.80/x
  3. Step 3: Cross multiply
    28,034.16x = 42,051.24 × 15,730.80
  4. Step 4: Simplify right side
    28,034.16x = 661,499,646.19
  5. Step 5: Solve for x
    x = 661,499,646.19/28,034.16
  6. Step 6: Final answer
    x = 23,596.20

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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.