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Finding the Fourth Proportional to 30,498.07, 45,735.79 and 10,501.98

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Solution

The fourth proportional to 30,498.07, 45,735.79 and 10,501.98 is: 15,749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,498.07 : 45,735.79 = 10,501.98 : x
  2. Step 2: Convert to fraction form
    30,498.07/45,735.79 = 10,501.98/x
  3. Step 3: Cross multiply
    30,498.07x = 45,735.79 × 10,501.98
  4. Step 4: Simplify right side
    30,498.07x = 480,316,351.86
  5. Step 5: Solve for x
    x = 480,316,351.86/30,498.07
  6. Step 6: Final answer
    x = 15,749.07

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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.