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Finding the Fourth Proportional to 30,931.90, 42,683.41 and 18,185.50

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Solution

The fourth proportional to 30,931.90, 42,683.41 and 18,185.50 is: 25,094.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.90 : 42,683.41 = 18,185.50 : x
  2. Step 2: Convert to fraction form
    30,931.90/42,683.41 = 18,185.50/x
  3. Step 3: Cross multiply
    30,931.90x = 42,683.41 × 18,185.50
  4. Step 4: Simplify right side
    30,931.90x = 776,219,152.56
  5. Step 5: Solve for x
    x = 776,219,152.56/30,931.90
  6. Step 6: Final answer
    x = 25,094.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.