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Finding the Fourth Proportional to 70,445.34, 105,668.43 and 17,854.98

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Solution

The fourth proportional to 70,445.34, 105,668.43 and 17,854.98 is: 26,782.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,445.34 : 105,668.43 = 17,854.98 : x
  2. Step 2: Convert to fraction form
    70,445.34/105,668.43 = 17,854.98/x
  3. Step 3: Cross multiply
    70,445.34x = 105,668.43 × 17,854.98
  4. Step 4: Simplify right side
    70,445.34x = 1,886,707,704.28
  5. Step 5: Solve for x
    x = 1,886,707,704.28/70,445.34
  6. Step 6: Final answer
    x = 26,782.58

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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.