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Finding the Fourth Proportional to 72,941, 100,658.64 and 39,407

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Solution

The fourth proportional to 72,941, 100,658.64 and 39,407 is: 54,381.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,941 : 100,658.64 = 39,407 : x
  2. Step 2: Convert to fraction form
    72,941/100,658.64 = 39,407/x
  3. Step 3: Cross multiply
    72,941x = 100,658.64 × 39,407
  4. Step 4: Simplify right side
    72,941x = 3,966,655,026.48
  5. Step 5: Solve for x
    x = 3,966,655,026.48/72,941
  6. Step 6: Final answer
    x = 54,381.69

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