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Finding the Fourth Proportional to 30,234.40, 41,707.04 and 19,312.16

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Solution

The fourth proportional to 30,234.40, 41,707.04 and 19,312.16 is: 26,640.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.40 : 41,707.04 = 19,312.16 : x
  2. Step 2: Convert to fraction form
    30,234.40/41,707.04 = 19,312.16/x
  3. Step 3: Cross multiply
    30,234.40x = 41,707.04 × 19,312.16
  4. Step 4: Simplify right side
    30,234.40x = 805,453,029.61
  5. Step 5: Solve for x
    x = 805,453,029.61/30,234.40
  6. Step 6: Final answer
    x = 26,640.28

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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.