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Finding the Fourth Proportional to 30,703.50, 42,370.83 and 17,455.50

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Solution

The fourth proportional to 30,703.50, 42,370.83 and 17,455.50 is: 24,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703.50 : 42,370.83 = 17,455.50 : x
  2. Step 2: Convert to fraction form
    30,703.50/42,370.83 = 17,455.50/x
  3. Step 3: Cross multiply
    30,703.50x = 42,370.83 × 17,455.50
  4. Step 4: Simplify right side
    30,703.50x = 739,604,023.07
  5. Step 5: Solve for x
    x = 739,604,023.07/30,703.50
  6. Step 6: Final answer
    x = 24,088.59

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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.