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Finding the Fourth Proportional to 65,009.30, 97,485.15 and 29,959.70

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Solution

The fourth proportional to 65,009.30, 97,485.15 and 29,959.70 is: 44,926.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,009.30 : 97,485.15 = 29,959.70 : x
  2. Step 2: Convert to fraction form
    65,009.30/97,485.15 = 29,959.70/x
  3. Step 3: Cross multiply
    65,009.30x = 97,485.15 × 29,959.70
  4. Step 4: Simplify right side
    65,009.30x = 2,920,625,848.46
  5. Step 5: Solve for x
    x = 2,920,625,848.46/65,009.30
  6. Step 6: Final answer
    x = 44,926.28

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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.