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Finding the Fourth Proportional to 64,996.50, 97,482.42 and 31,683.06

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Solution

The fourth proportional to 64,996.50, 97,482.42 and 31,683.06 is: 47,518.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,996.50 : 97,482.42 = 31,683.06 : x
  2. Step 2: Convert to fraction form
    64,996.50/97,482.42 = 31,683.06/x
  3. Step 3: Cross multiply
    64,996.50x = 97,482.42 × 31,683.06
  4. Step 4: Simplify right side
    64,996.50x = 3,088,541,361.81
  5. Step 5: Solve for x
    x = 3,088,541,361.81/64,996.50
  6. Step 6: Final answer
    x = 47,518.58

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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.