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Finding the Fourth Proportional to 109,041.96, 163,465.92 and 42,466.56

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Solution

The fourth proportional to 109,041.96, 163,465.92 and 42,466.56 is: 63,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,041.96 : 163,465.92 = 42,466.56 : x
  2. Step 2: Convert to fraction form
    109,041.96/163,465.92 = 42,466.56/x
  3. Step 3: Cross multiply
    109,041.96x = 163,465.92 × 42,466.56
  4. Step 4: Simplify right side
    109,041.96x = 6,941,835,299.64
  5. Step 5: Solve for x
    x = 6,941,835,299.64/109,041.96
  6. Step 6: Final answer
    x = 63,662.06

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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.