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Finding the Fourth Proportional to 43,333.84, 64,900.32 and 31,618

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Solution

The fourth proportional to 43,333.84, 64,900.32 and 31,618 is: 47,353.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,333.84 : 64,900.32 = 31,618 : x
  2. Step 2: Convert to fraction form
    43,333.84/64,900.32 = 31,618/x
  3. Step 3: Cross multiply
    43,333.84x = 64,900.32 × 31,618
  4. Step 4: Simplify right side
    43,333.84x = 2,052,018,317.76
  5. Step 5: Solve for x
    x = 2,052,018,317.76/43,333.84
  6. Step 6: Final answer
    x = 47,353.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.