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Finding the Fourth Proportional to 30,931.13, 42,685.04 and 16,783.98

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Solution

The fourth proportional to 30,931.13, 42,685.04 and 16,783.98 is: 23,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,931.13 : 42,685.04 = 16,783.98 : x
  2. Step 2: Convert to fraction form
    30,931.13/42,685.04 = 16,783.98/x
  3. Step 3: Cross multiply
    30,931.13x = 42,685.04 × 16,783.98
  4. Step 4: Simplify right side
    30,931.13x = 716,424,773.74
  5. Step 5: Solve for x
    x = 716,424,773.74/30,931.13
  6. Step 6: Final answer
    x = 23,161.94

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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.