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Finding the Fourth Proportional to 102,034.17, 153,051.62 and 30,957.42

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Solution

The fourth proportional to 102,034.17, 153,051.62 and 30,957.42 is: 46,436.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,034.17 : 153,051.62 = 30,957.42 : x
  2. Step 2: Convert to fraction form
    102,034.17/153,051.62 = 30,957.42/x
  3. Step 3: Cross multiply
    102,034.17x = 153,051.62 × 30,957.42
  4. Step 4: Simplify right side
    102,034.17x = 4,738,083,282.02
  5. Step 5: Solve for x
    x = 4,738,083,282.02/102,034.17
  6. Step 6: Final answer
    x = 46,436.24

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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.