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Finding the Fourth Proportional to 42,851.81, 64,302.32 and 33,465.49

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Solution

The fourth proportional to 42,851.81, 64,302.32 and 33,465.49 is: 50,217.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,851.81 : 64,302.32 = 33,465.49 : x
  2. Step 2: Convert to fraction form
    42,851.81/64,302.32 = 33,465.49/x
  3. Step 3: Cross multiply
    42,851.81x = 64,302.32 × 33,465.49
  4. Step 4: Simplify right side
    42,851.81x = 2,151,908,569.84
  5. Step 5: Solve for x
    x = 2,151,908,569.84/42,851.81
  6. Step 6: Final answer
    x = 50,217.45

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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.