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Finding the Fourth Proportional to 58,902, 81,284.76 and 32,406

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Solution

The fourth proportional to 58,902, 81,284.76 and 32,406 is: 44,720.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,902 : 81,284.76 = 32,406 : x
  2. Step 2: Convert to fraction form
    58,902/81,284.76 = 32,406/x
  3. Step 3: Cross multiply
    58,902x = 81,284.76 × 32,406
  4. Step 4: Simplify right side
    58,902x = 2,634,113,932.56
  5. Step 5: Solve for x
    x = 2,634,113,932.56/58,902
  6. Step 6: Final answer
    x = 44,720.28

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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.