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Finding the Fourth Proportional to 35,773.32, 53,653.86 and 9,480.72

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Solution

The fourth proportional to 35,773.32, 53,653.86 and 9,480.72 is: 14,219.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,773.32 : 53,653.86 = 9,480.72 : x
  2. Step 2: Convert to fraction form
    35,773.32/53,653.86 = 9,480.72/x
  3. Step 3: Cross multiply
    35,773.32x = 53,653.86 × 9,480.72
  4. Step 4: Simplify right side
    35,773.32x = 508,677,223.58
  5. Step 5: Solve for x
    x = 508,677,223.58/35,773.32
  6. Step 6: Final answer
    x = 14,219.46

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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.