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Finding the Fourth Proportional to 34,141, 47,127.54 and 22,969.48

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Solution

The fourth proportional to 34,141, 47,127.54 and 22,969.48 is: 31,706.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141 : 47,127.54 = 22,969.48 : x
  2. Step 2: Convert to fraction form
    34,141/47,127.54 = 22,969.48/x
  3. Step 3: Cross multiply
    34,141x = 47,127.54 × 22,969.48
  4. Step 4: Simplify right side
    34,141x = 1,082,495,087.48
  5. Step 5: Solve for x
    x = 1,082,495,087.48/34,141
  6. Step 6: Final answer
    x = 31,706.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.