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Finding the Fourth Proportional to 30,415.42, 42,002.15 and 28,758.77

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Solution

The fourth proportional to 30,415.42, 42,002.15 and 28,758.77 is: 39,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,415.42 : 42,002.15 = 28,758.77 : x
  2. Step 2: Convert to fraction form
    30,415.42/42,002.15 = 28,758.77/x
  3. Step 3: Cross multiply
    30,415.42x = 42,002.15 × 28,758.77
  4. Step 4: Simplify right side
    30,415.42x = 1,207,929,961.34
  5. Step 5: Solve for x
    x = 1,207,929,961.34/30,415.42
  6. Step 6: Final answer
    x = 39,714.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.