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Finding the Fourth Proportional to 97,093.46, 145,656.80 and 44,507.46

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Solution

The fourth proportional to 97,093.46, 145,656.80 and 44,507.46 is: 66,768.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,093.46 : 145,656.80 = 44,507.46 : x
  2. Step 2: Convert to fraction form
    97,093.46/145,656.80 = 44,507.46/x
  3. Step 3: Cross multiply
    97,093.46x = 145,656.80 × 44,507.46
  4. Step 4: Simplify right side
    97,093.46x = 6,482,814,199.73
  5. Step 5: Solve for x
    x = 6,482,814,199.73/97,093.46
  6. Step 6: Final answer
    x = 66,768.80

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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.