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Finding the Fourth Proportional to 30,495.83, 45,726.89 and 9,430.07

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Solution

The fourth proportional to 30,495.83, 45,726.89 and 9,430.07 is: 14,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,495.83 : 45,726.89 = 9,430.07 : x
  2. Step 2: Convert to fraction form
    30,495.83/45,726.89 = 9,430.07/x
  3. Step 3: Cross multiply
    30,495.83x = 45,726.89 × 9,430.07
  4. Step 4: Simplify right side
    30,495.83x = 431,207,497.80
  5. Step 5: Solve for x
    x = 431,207,497.80/30,495.83
  6. Step 6: Final answer
    x = 14,139.89

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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.