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Finding the Fourth Proportional to 35,390.84, 53,077.75 and 10,424.14

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Solution

The fourth proportional to 35,390.84, 53,077.75 and 10,424.14 is: 15,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,390.84 : 53,077.75 = 10,424.14 : x
  2. Step 2: Convert to fraction form
    35,390.84/53,077.75 = 10,424.14/x
  3. Step 3: Cross multiply
    35,390.84x = 53,077.75 × 10,424.14
  4. Step 4: Simplify right side
    35,390.84x = 553,289,738.13
  5. Step 5: Solve for x
    x = 553,289,738.13/35,390.84
  6. Step 6: Final answer
    x = 15,633.70

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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.