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Finding the Fourth Proportional to 42,470.83, 63,713.93 and 17,497

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Solution

The fourth proportional to 42,470.83, 63,713.93 and 17,497 is: 26,248.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,470.83 : 63,713.93 = 17,497 : x
  2. Step 2: Convert to fraction form
    42,470.83/63,713.93 = 17,497/x
  3. Step 3: Cross multiply
    42,470.83x = 63,713.93 × 17,497
  4. Step 4: Simplify right side
    42,470.83x = 1,114,802,633.21
  5. Step 5: Solve for x
    x = 1,114,802,633.21/42,470.83
  6. Step 6: Final answer
    x = 26,248.67

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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.