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Finding the Fourth Proportional to 46,769.40, 70,154.04 and 11,709

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Solution

The fourth proportional to 46,769.40, 70,154.04 and 11,709 is: 17,563.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,769.40 : 70,154.04 = 11,709 : x
  2. Step 2: Convert to fraction form
    46,769.40/70,154.04 = 11,709/x
  3. Step 3: Cross multiply
    46,769.40x = 70,154.04 × 11,709
  4. Step 4: Simplify right side
    46,769.40x = 821,433,654.36
  5. Step 5: Solve for x
    x = 821,433,654.36/46,769.40
  6. Step 6: Final answer
    x = 17,563.48

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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.