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Finding the Fourth Proportional to 35,395.85, 53,085.24 and 10,429.13

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Solution

The fourth proportional to 35,395.85, 53,085.24 and 10,429.13 is: 15,641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,395.85 : 53,085.24 = 10,429.13 : x
  2. Step 2: Convert to fraction form
    35,395.85/53,085.24 = 10,429.13/x
  3. Step 3: Cross multiply
    35,395.85x = 53,085.24 × 10,429.13
  4. Step 4: Simplify right side
    35,395.85x = 553,632,869.04
  5. Step 5: Solve for x
    x = 553,632,869.04/35,395.85
  6. Step 6: Final answer
    x = 15,641.18

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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.