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Finding the Fourth Proportional to 30,751.72, 46,127.54 and 23,741.98

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Solution

The fourth proportional to 30,751.72, 46,127.54 and 23,741.98 is: 35,612.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.72 : 46,127.54 = 23,741.98 : x
  2. Step 2: Convert to fraction form
    30,751.72/46,127.54 = 23,741.98/x
  3. Step 3: Cross multiply
    30,751.72x = 46,127.54 × 23,741.98
  4. Step 4: Simplify right side
    30,751.72x = 1,095,159,076.17
  5. Step 5: Solve for x
    x = 1,095,159,076.17/30,751.72
  6. Step 6: Final answer
    x = 35,612.94

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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.