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Finding the Fourth Proportional to 42,710.72, 64,066.16 and 14,631

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Solution

The fourth proportional to 42,710.72, 64,066.16 and 14,631 is: 21,946.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,710.72 : 64,066.16 = 14,631 : x
  2. Step 2: Convert to fraction form
    42,710.72/64,066.16 = 14,631/x
  3. Step 3: Cross multiply
    42,710.72x = 64,066.16 × 14,631
  4. Step 4: Simplify right side
    42,710.72x = 937,351,913.81
  5. Step 5: Solve for x
    x = 937,351,913.81/42,710.72
  6. Step 6: Final answer
    x = 21,946.53

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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.