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Finding the Fourth Proportional to 72,735.42, 100,373.90 and 40,904.30

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Solution

The fourth proportional to 72,735.42, 100,373.90 and 40,904.30 is: 56,447.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,735.42 : 100,373.90 = 40,904.30 : x
  2. Step 2: Convert to fraction form
    72,735.42/100,373.90 = 40,904.30/x
  3. Step 3: Cross multiply
    72,735.42x = 100,373.90 × 40,904.30
  4. Step 4: Simplify right side
    72,735.42x = 4,105,724,117.77
  5. Step 5: Solve for x
    x = 4,105,724,117.77/72,735.42
  6. Step 6: Final answer
    x = 56,447.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.