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Finding the Fourth Proportional to 30,496.07, 45,732.80 and 10,499.98

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Solution

The fourth proportional to 30,496.07, 45,732.80 and 10,499.98 is: 15,746.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,496.07 : 45,732.80 = 10,499.98 : x
  2. Step 2: Convert to fraction form
    30,496.07/45,732.80 = 10,499.98/x
  3. Step 3: Cross multiply
    30,496.07x = 45,732.80 × 10,499.98
  4. Step 4: Simplify right side
    30,496.07x = 480,193,204.18
  5. Step 5: Solve for x
    x = 480,193,204.18/30,496.07
  6. Step 6: Final answer
    x = 15,746.07

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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.