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Finding the Fourth Proportional to 35,738.40, 53,607.60 and 16,055.40

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Solution

The fourth proportional to 35,738.40, 53,607.60 and 16,055.40 is: 24,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,738.40 : 53,607.60 = 16,055.40 : x
  2. Step 2: Convert to fraction form
    35,738.40/53,607.60 = 16,055.40/x
  3. Step 3: Cross multiply
    35,738.40x = 53,607.60 × 16,055.40
  4. Step 4: Simplify right side
    35,738.40x = 860,691,461.04
  5. Step 5: Solve for x
    x = 860,691,461.04/35,738.40
  6. Step 6: Final answer
    x = 24,083.10

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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.