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Finding the Fourth Proportional to 30,767.34, 42,445.62 and 19,428.96

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Solution

The fourth proportional to 30,767.34, 42,445.62 and 19,428.96 is: 26,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,767.34 : 42,445.62 = 19,428.96 : x
  2. Step 2: Convert to fraction form
    30,767.34/42,445.62 = 19,428.96/x
  3. Step 3: Cross multiply
    30,767.34x = 42,445.62 × 19,428.96
  4. Step 4: Simplify right side
    30,767.34x = 824,674,253.16
  5. Step 5: Solve for x
    x = 824,674,253.16/30,767.34
  6. Step 6: Final answer
    x = 26,803.56

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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.