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Finding the Fourth Proportional to 30,430.88, 45,646.31 and 11,459.08

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Solution

The fourth proportional to 30,430.88, 45,646.31 and 11,459.08 is: 17,188.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.88 : 45,646.31 = 11,459.08 : x
  2. Step 2: Convert to fraction form
    30,430.88/45,646.31 = 11,459.08/x
  3. Step 3: Cross multiply
    30,430.88x = 45,646.31 × 11,459.08
  4. Step 4: Simplify right side
    30,430.88x = 523,064,717.99
  5. Step 5: Solve for x
    x = 523,064,717.99/30,430.88
  6. Step 6: Final answer
    x = 17,188.62

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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.