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Finding the Fourth Proportional to 35,558, 53,345.64 and 10,934

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Solution

The fourth proportional to 35,558, 53,345.64 and 10,934 is: 16,403.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,558 : 53,345.64 = 10,934 : x
  2. Step 2: Convert to fraction form
    35,558/53,345.64 = 10,934/x
  3. Step 3: Cross multiply
    35,558x = 53,345.64 × 10,934
  4. Step 4: Simplify right side
    35,558x = 583,281,227.76
  5. Step 5: Solve for x
    x = 583,281,227.76/35,558
  6. Step 6: Final answer
    x = 16,403.66

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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.