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Finding the Fourth Proportional to 30,332, 45,499.62 and 9,557.12

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Solution

The fourth proportional to 30,332, 45,499.62 and 9,557.12 is: 14,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,332 : 45,499.62 = 9,557.12 : x
  2. Step 2: Convert to fraction form
    30,332/45,499.62 = 9,557.12/x
  3. Step 3: Cross multiply
    30,332x = 45,499.62 × 9,557.12
  4. Step 4: Simplify right side
    30,332x = 434,845,328.29
  5. Step 5: Solve for x
    x = 434,845,328.29/30,332
  6. Step 6: Final answer
    x = 14,336.19

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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.