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Finding the Fourth Proportional to 30,615.65, 45,923.40 and 10,894.98

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Solution

The fourth proportional to 30,615.65, 45,923.40 and 10,894.98 is: 16,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615.65 : 45,923.40 = 10,894.98 : x
  2. Step 2: Convert to fraction form
    30,615.65/45,923.40 = 10,894.98/x
  3. Step 3: Cross multiply
    30,615.65x = 45,923.40 × 10,894.98
  4. Step 4: Simplify right side
    30,615.65x = 500,334,524.53
  5. Step 5: Solve for x
    x = 500,334,524.53/30,615.65
  6. Step 6: Final answer
    x = 16,342.45

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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.