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Finding the Fourth Proportional to 35,965.40, 53,948.01 and 9,670.14

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Solution

The fourth proportional to 35,965.40, 53,948.01 and 9,670.14 is: 14,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,965.40 : 53,948.01 = 9,670.14 : x
  2. Step 2: Convert to fraction form
    35,965.40/53,948.01 = 9,670.14/x
  3. Step 3: Cross multiply
    35,965.40x = 53,948.01 × 9,670.14
  4. Step 4: Simplify right side
    35,965.40x = 521,684,809.42
  5. Step 5: Solve for x
    x = 521,684,809.42/35,965.40
  6. Step 6: Final answer
    x = 14,505.19

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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.