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Finding the Fourth Proportional to 35,662.74, 53,494.07 and 10,702.76

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Solution

The fourth proportional to 35,662.74, 53,494.07 and 10,702.76 is: 16,054.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,662.74 : 53,494.07 = 10,702.76 : x
  2. Step 2: Convert to fraction form
    35,662.74/53,494.07 = 10,702.76/x
  3. Step 3: Cross multiply
    35,662.74x = 53,494.07 × 10,702.76
  4. Step 4: Simplify right side
    35,662.74x = 572,533,871.65
  5. Step 5: Solve for x
    x = 572,533,871.65/35,662.74
  6. Step 6: Final answer
    x = 16,054.12

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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.