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Finding the Fourth Proportional to 34,397.04, 47,472.60 and 19,494

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Solution

The fourth proportional to 34,397.04, 47,472.60 and 19,494 is: 26,904.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,397.04 : 47,472.60 = 19,494 : x
  2. Step 2: Convert to fraction form
    34,397.04/47,472.60 = 19,494/x
  3. Step 3: Cross multiply
    34,397.04x = 47,472.60 × 19,494
  4. Step 4: Simplify right side
    34,397.04x = 925,430,864.40
  5. Step 5: Solve for x
    x = 925,430,864.40/34,397.04
  6. Step 6: Final answer
    x = 26,904.38

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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.