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Finding the Fourth Proportional to 35,702.42, 53,534.91 and 12,323.30

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Solution

The fourth proportional to 35,702.42, 53,534.91 and 12,323.30 is: 18,478.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.42 : 53,534.91 = 12,323.30 : x
  2. Step 2: Convert to fraction form
    35,702.42/53,534.91 = 12,323.30/x
  3. Step 3: Cross multiply
    35,702.42x = 53,534.91 × 12,323.30
  4. Step 4: Simplify right side
    35,702.42x = 659,726,756.40
  5. Step 5: Solve for x
    x = 659,726,756.40/35,702.42
  6. Step 6: Final answer
    x = 18,478.49

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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.