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Finding the Fourth Proportional to 98,254.30, 147,410.15 and 31,692.95

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Solution

The fourth proportional to 98,254.30, 147,410.15 and 31,692.95 is: 47,548.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,254.30 : 147,410.15 = 31,692.95 : x
  2. Step 2: Convert to fraction form
    98,254.30/147,410.15 = 31,692.95/x
  3. Step 3: Cross multiply
    98,254.30x = 147,410.15 × 31,692.95
  4. Step 4: Simplify right side
    98,254.30x = 4,671,862,961.20
  5. Step 5: Solve for x
    x = 4,671,862,961.20/98,254.30
  6. Step 6: Final answer
    x = 47,548.69

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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.