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Finding the Fourth Proportional to 72,856.02, 109,113.93 and 56,082.96

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Solution

The fourth proportional to 72,856.02, 109,113.93 and 56,082.96 is: 83,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,856.02 : 109,113.93 = 56,082.96 : x
  2. Step 2: Convert to fraction form
    72,856.02/109,113.93 = 56,082.96/x
  3. Step 3: Cross multiply
    72,856.02x = 109,113.93 × 56,082.96
  4. Step 4: Simplify right side
    72,856.02x = 6,119,432,171.63
  5. Step 5: Solve for x
    x = 6,119,432,171.63/72,856.02
  6. Step 6: Final answer
    x = 83,993.50

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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.