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Finding the Fourth Proportional to 46,941.68, 70,422.96 and 15,776

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Solution

The fourth proportional to 46,941.68, 70,422.96 and 15,776 is: 23,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,941.68 : 70,422.96 = 15,776 : x
  2. Step 2: Convert to fraction form
    46,941.68/70,422.96 = 15,776/x
  3. Step 3: Cross multiply
    46,941.68x = 70,422.96 × 15,776
  4. Step 4: Simplify right side
    46,941.68x = 1,110,992,616.96
  5. Step 5: Solve for x
    x = 1,110,992,616.96/46,941.68
  6. Step 6: Final answer
    x = 23,667.51

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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.