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Finding the Fourth Proportional to 30,497.40, 42,100.70 and 22,946.56

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Solution

The fourth proportional to 30,497.40, 42,100.70 and 22,946.56 is: 31,677.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,497.40 : 42,100.70 = 22,946.56 : x
  2. Step 2: Convert to fraction form
    30,497.40/42,100.70 = 22,946.56/x
  3. Step 3: Cross multiply
    30,497.40x = 42,100.70 × 22,946.56
  4. Step 4: Simplify right side
    30,497.40x = 966,066,018.61
  5. Step 5: Solve for x
    x = 966,066,018.61/30,497.40
  6. Step 6: Final answer
    x = 31,677.00

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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.