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Finding the Fourth Proportional to 34,897.32, 48,140.46 and 20,547

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Solution

The fourth proportional to 34,897.32, 48,140.46 and 20,547 is: 28,344.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,897.32 : 48,140.46 = 20,547 : x
  2. Step 2: Convert to fraction form
    34,897.32/48,140.46 = 20,547/x
  3. Step 3: Cross multiply
    34,897.32x = 48,140.46 × 20,547
  4. Step 4: Simplify right side
    34,897.32x = 989,142,031.62
  5. Step 5: Solve for x
    x = 989,142,031.62/34,897.32
  6. Step 6: Final answer
    x = 28,344.36

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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.