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Finding the Fourth Proportional to 30,563.74, 45,852.80 and 9,502.72

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Solution

The fourth proportional to 30,563.74, 45,852.80 and 9,502.72 is: 14,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,563.74 : 45,852.80 = 9,502.72 : x
  2. Step 2: Convert to fraction form
    30,563.74/45,852.80 = 9,502.72/x
  3. Step 3: Cross multiply
    30,563.74x = 45,852.80 × 9,502.72
  4. Step 4: Simplify right side
    30,563.74x = 435,726,319.62
  5. Step 5: Solve for x
    x = 435,726,319.62/30,563.74
  6. Step 6: Final answer
    x = 14,256.32

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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.