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Finding the Fourth Proportional to 30,431.18, 45,646.77 and 9,653.06

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Solution

The fourth proportional to 30,431.18, 45,646.77 and 9,653.06 is: 14,479.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.18 : 45,646.77 = 9,653.06 : x
  2. Step 2: Convert to fraction form
    30,431.18/45,646.77 = 9,653.06/x
  3. Step 3: Cross multiply
    30,431.18x = 45,646.77 × 9,653.06
  4. Step 4: Simplify right side
    30,431.18x = 440,631,159.93
  5. Step 5: Solve for x
    x = 440,631,159.93/30,431.18
  6. Step 6: Final answer
    x = 14,479.59

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