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Finding the Fourth Proportional to 35,408, 53,112 and 10,784

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Solution

The fourth proportional to 35,408, 53,112 and 10,784 is: 16,176

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,408 : 53,112 = 10,784 : x
  2. Step 2: Convert to fraction form
    35,408/53,112 = 10,784/x
  3. Step 3: Cross multiply
    35,408x = 53,112 × 10,784
  4. Step 4: Simplify right side
    35,408x = 572,759,808
  5. Step 5: Solve for x
    x = 572,759,808/35,408
  6. Step 6: Final answer
    x = 16,176

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.