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Finding the Fourth Proportional to 32,102.71, 44,303.04 and 17,762.29

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Solution

The fourth proportional to 32,102.71, 44,303.04 and 17,762.29 is: 24,512.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.71 : 44,303.04 = 17,762.29 : x
  2. Step 2: Convert to fraction form
    32,102.71/44,303.04 = 17,762.29/x
  3. Step 3: Cross multiply
    32,102.71x = 44,303.04 × 17,762.29
  4. Step 4: Simplify right side
    32,102.71x = 786,923,333.60
  5. Step 5: Solve for x
    x = 786,923,333.60/32,102.71
  6. Step 6: Final answer
    x = 24,512.68

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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.