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Finding the Fourth Proportional to 35,856.90, 53,720.55 and 31,709.70

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Solution

The fourth proportional to 35,856.90, 53,720.55 and 31,709.70 is: 47,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,856.90 : 53,720.55 = 31,709.70 : x
  2. Step 2: Convert to fraction form
    35,856.90/53,720.55 = 31,709.70/x
  3. Step 3: Cross multiply
    35,856.90x = 53,720.55 × 31,709.70
  4. Step 4: Simplify right side
    35,856.90x = 1,703,462,524.34
  5. Step 5: Solve for x
    x = 1,703,462,524.34/35,856.90
  6. Step 6: Final answer
    x = 47,507.24

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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.