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Finding the Fourth Proportional to 35,605.65, 53,403.84 and 9,312.42

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Solution

The fourth proportional to 35,605.65, 53,403.84 and 9,312.42 is: 13,967.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,605.65 : 53,403.84 = 9,312.42 : x
  2. Step 2: Convert to fraction form
    35,605.65/53,403.84 = 9,312.42/x
  3. Step 3: Cross multiply
    35,605.65x = 53,403.84 × 9,312.42
  4. Step 4: Simplify right side
    35,605.65x = 497,318,987.69
  5. Step 5: Solve for x
    x = 497,318,987.69/35,605.65
  6. Step 6: Final answer
    x = 13,967.42

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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.