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Finding the Fourth Proportional to 57,145.95, 85,802.15 and 42,199.19

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Solution

The fourth proportional to 57,145.95, 85,802.15 and 42,199.19 is: 63,360.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.95 : 85,802.15 = 42,199.19 : x
  2. Step 2: Convert to fraction form
    57,145.95/85,802.15 = 42,199.19/x
  3. Step 3: Cross multiply
    57,145.95x = 85,802.15 × 42,199.19
  4. Step 4: Simplify right side
    57,145.95x = 3,620,781,228.50
  5. Step 5: Solve for x
    x = 3,620,781,228.50/57,145.95
  6. Step 6: Final answer
    x = 63,360.24

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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.