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Finding the Fourth Proportional to 27,038, 37,312.35 and 15,101.34

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Solution

The fourth proportional to 27,038, 37,312.35 and 15,101.34 is: 20,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,038 : 37,312.35 = 15,101.34 : x
  2. Step 2: Convert to fraction form
    27,038/37,312.35 = 15,101.34/x
  3. Step 3: Cross multiply
    27,038x = 37,312.35 × 15,101.34
  4. Step 4: Simplify right side
    27,038x = 563,466,483.55
  5. Step 5: Solve for x
    x = 563,466,483.55/27,038
  6. Step 6: Final answer
    x = 20,839.80

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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.