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Finding the Fourth Proportional to 37,348, 56,031.60 and 12,724

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Solution

The fourth proportional to 37,348, 56,031.60 and 12,724 is: 19,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,348 : 56,031.60 = 12,724 : x
  2. Step 2: Convert to fraction form
    37,348/56,031.60 = 12,724/x
  3. Step 3: Cross multiply
    37,348x = 56,031.60 × 12,724
  4. Step 4: Simplify right side
    37,348x = 712,946,078.40
  5. Step 5: Solve for x
    x = 712,946,078.40/37,348
  6. Step 6: Final answer
    x = 19,089.27

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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.