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Finding the Fourth Proportional to 46,973.48, 70,439.74 and 17,769

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Solution

The fourth proportional to 46,973.48, 70,439.74 and 17,769 is: 26,645.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,973.48 : 70,439.74 = 17,769 : x
  2. Step 2: Convert to fraction form
    46,973.48/70,439.74 = 17,769/x
  3. Step 3: Cross multiply
    46,973.48x = 70,439.74 × 17,769
  4. Step 4: Simplify right side
    46,973.48x = 1,251,643,740.06
  5. Step 5: Solve for x
    x = 1,251,643,740.06/46,973.48
  6. Step 6: Final answer
    x = 26,645.75

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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.