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Finding the Fourth Proportional to 35,711.70, 53,506.80 and 23,212.59

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Solution

The fourth proportional to 35,711.70, 53,506.80 and 23,212.59 is: 34,779.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.70 : 53,506.80 = 23,212.59 : x
  2. Step 2: Convert to fraction form
    35,711.70/53,506.80 = 23,212.59/x
  3. Step 3: Cross multiply
    35,711.70x = 53,506.80 × 23,212.59
  4. Step 4: Simplify right side
    35,711.70x = 1,242,031,410.61
  5. Step 5: Solve for x
    x = 1,242,031,410.61/35,711.70
  6. Step 6: Final answer
    x = 34,779.40

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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.