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Finding the Fourth Proportional to 32,570, 44,946.60 and 18,422.54

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Solution

The fourth proportional to 32,570, 44,946.60 and 18,422.54 is: 25,423.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570 : 44,946.60 = 18,422.54 : x
  2. Step 2: Convert to fraction form
    32,570/44,946.60 = 18,422.54/x
  3. Step 3: Cross multiply
    32,570x = 44,946.60 × 18,422.54
  4. Step 4: Simplify right side
    32,570x = 828,030,536.36
  5. Step 5: Solve for x
    x = 828,030,536.36/32,570
  6. Step 6: Final answer
    x = 25,423.11

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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.