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Finding the Fourth Proportional to 61,598.48, 92,388.12 and 20,045.20

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Solution

The fourth proportional to 61,598.48, 92,388.12 and 20,045.20 is: 30,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598.48 : 92,388.12 = 20,045.20 : x
  2. Step 2: Convert to fraction form
    61,598.48/92,388.12 = 20,045.20/x
  3. Step 3: Cross multiply
    61,598.48x = 92,388.12 × 20,045.20
  4. Step 4: Simplify right side
    61,598.48x = 1,851,938,343.02
  5. Step 5: Solve for x
    x = 1,851,938,343.02/61,598.48
  6. Step 6: Final answer
    x = 30,064.68

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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.