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Finding the Fourth Proportional to 35,050, 52,573.08 and 14,290.96

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Solution

The fourth proportional to 35,050, 52,573.08 and 14,290.96 is: 21,435.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,050 : 52,573.08 = 14,290.96 : x
  2. Step 2: Convert to fraction form
    35,050/52,573.08 = 14,290.96/x
  3. Step 3: Cross multiply
    35,050x = 52,573.08 × 14,290.96
  4. Step 4: Simplify right side
    35,050x = 751,319,783.36
  5. Step 5: Solve for x
    x = 751,319,783.36/35,050
  6. Step 6: Final answer
    x = 21,435.66

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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.