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Finding the Fourth Proportional to 98,893.76, 148,339.28 and 24,014.48

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Solution

The fourth proportional to 98,893.76, 148,339.28 and 24,014.48 is: 36,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,893.76 : 148,339.28 = 24,014.48 : x
  2. Step 2: Convert to fraction form
    98,893.76/148,339.28 = 24,014.48/x
  3. Step 3: Cross multiply
    98,893.76x = 148,339.28 × 24,014.48
  4. Step 4: Simplify right side
    98,893.76x = 3,562,290,672.77
  5. Step 5: Solve for x
    x = 3,562,290,672.77/98,893.76
  6. Step 6: Final answer
    x = 36,021.39

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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.