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Finding the Fourth Proportional to 35,378.65, 53,069.30 and 10,418.71

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Solution

The fourth proportional to 35,378.65, 53,069.30 and 10,418.71 is: 15,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,378.65 : 53,069.30 = 10,418.71 : x
  2. Step 2: Convert to fraction form
    35,378.65/53,069.30 = 10,418.71/x
  3. Step 3: Cross multiply
    35,378.65x = 53,069.30 × 10,418.71
  4. Step 4: Simplify right side
    35,378.65x = 552,913,329.16
  5. Step 5: Solve for x
    x = 552,913,329.16/35,378.65
  6. Step 6: Final answer
    x = 15,628.45

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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.