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Finding the Fourth Proportional to 35,897.60, 53,848.80 and 12,204.80

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Solution

The fourth proportional to 35,897.60, 53,848.80 and 12,204.80 is: 18,308.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.60 : 53,848.80 = 12,204.80 : x
  2. Step 2: Convert to fraction form
    35,897.60/53,848.80 = 12,204.80/x
  3. Step 3: Cross multiply
    35,897.60x = 53,848.80 × 12,204.80
  4. Step 4: Simplify right side
    35,897.60x = 657,213,834.24
  5. Step 5: Solve for x
    x = 657,213,834.24/35,897.60
  6. Step 6: Final answer
    x = 18,308.02

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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.