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Finding the Fourth Proportional to 34,492, 47,598.96 and 19,588

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Solution

The fourth proportional to 34,492, 47,598.96 and 19,588 is: 27,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,492 : 47,598.96 = 19,588 : x
  2. Step 2: Convert to fraction form
    34,492/47,598.96 = 19,588/x
  3. Step 3: Cross multiply
    34,492x = 47,598.96 × 19,588
  4. Step 4: Simplify right side
    34,492x = 932,368,428.48
  5. Step 5: Solve for x
    x = 932,368,428.48/34,492
  6. Step 6: Final answer
    x = 27,031.44

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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.