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Finding the Fourth Proportional to 47,109.95, 70,667.23 and 19,026.50

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Solution

The fourth proportional to 47,109.95, 70,667.23 and 19,026.50 is: 28,540.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,109.95 : 70,667.23 = 19,026.50 : x
  2. Step 2: Convert to fraction form
    47,109.95/70,667.23 = 19,026.50/x
  3. Step 3: Cross multiply
    47,109.95x = 70,667.23 × 19,026.50
  4. Step 4: Simplify right side
    47,109.95x = 1,344,549,963.26
  5. Step 5: Solve for x
    x = 1,344,549,963.26/47,109.95
  6. Step 6: Final answer
    x = 28,540.68

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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.