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Finding the Fourth Proportional to 35,342.82, 53,014.16 and 9,047.58

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Solution

The fourth proportional to 35,342.82, 53,014.16 and 9,047.58 is: 13,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,342.82 : 53,014.16 = 9,047.58 : x
  2. Step 2: Convert to fraction form
    35,342.82/53,014.16 = 9,047.58/x
  3. Step 3: Cross multiply
    35,342.82x = 53,014.16 × 9,047.58
  4. Step 4: Simplify right side
    35,342.82x = 479,649,853.73
  5. Step 5: Solve for x
    x = 479,649,853.73/35,342.82
  6. Step 6: Final answer
    x = 13,571.35

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1.5x scale

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.