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Finding the Fourth Proportional to 97,447.93, 146,230.20 and 42,043.93

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Solution

The fourth proportional to 97,447.93, 146,230.20 and 42,043.93 is: 63,091.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,447.93 : 146,230.20 = 42,043.93 : x
  2. Step 2: Convert to fraction form
    97,447.93/146,230.20 = 42,043.93/x
  3. Step 3: Cross multiply
    97,447.93x = 146,230.20 × 42,043.93
  4. Step 4: Simplify right side
    97,447.93x = 6,148,091,927.11
  5. Step 5: Solve for x
    x = 6,148,091,927.11/97,447.93
  6. Step 6: Final answer
    x = 63,091.05

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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.