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Finding the Fourth Proportional to 35,770.58, 53,656.88 and 9,475.31

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Solution

The fourth proportional to 35,770.58, 53,656.88 and 9,475.31 is: 14,213.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,770.58 : 53,656.88 = 9,475.31 : x
  2. Step 2: Convert to fraction form
    35,770.58/53,656.88 = 9,475.31/x
  3. Step 3: Cross multiply
    35,770.58x = 53,656.88 × 9,475.31
  4. Step 4: Simplify right side
    35,770.58x = 508,415,711.70
  5. Step 5: Solve for x
    x = 508,415,711.70/35,770.58
  6. Step 6: Final answer
    x = 14,213.24

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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.