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Finding the Fourth Proportional to 35,897.76, 53,838.24 and 12,203.52

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Solution

The fourth proportional to 35,897.76, 53,838.24 and 12,203.52 is: 18,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,897.76 : 53,838.24 = 12,203.52 : x
  2. Step 2: Convert to fraction form
    35,897.76/53,838.24 = 12,203.52/x
  3. Step 3: Cross multiply
    35,897.76x = 53,838.24 × 12,203.52
  4. Step 4: Simplify right side
    35,897.76x = 657,016,038.60
  5. Step 5: Solve for x
    x = 657,016,038.60/35,897.76
  6. Step 6: Final answer
    x = 18,302.42

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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.