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Finding the Fourth Proportional to 35,813.57, 53,720.30 and 9,518.31

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Solution

The fourth proportional to 35,813.57, 53,720.30 and 9,518.31 is: 14,277.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,813.57 : 53,720.30 = 9,518.31 : x
  2. Step 2: Convert to fraction form
    35,813.57/53,720.30 = 9,518.31/x
  3. Step 3: Cross multiply
    35,813.57x = 53,720.30 × 9,518.31
  4. Step 4: Simplify right side
    35,813.57x = 511,326,421.10
  5. Step 5: Solve for x
    x = 511,326,421.10/35,813.57
  6. Step 6: Final answer
    x = 14,277.45

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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.