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Finding the Fourth Proportional to 30,973.60, 42,738.78 and 18,233.20

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Solution

The fourth proportional to 30,973.60, 42,738.78 and 18,233.20 is: 25,159.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,973.60 : 42,738.78 = 18,233.20 : x
  2. Step 2: Convert to fraction form
    30,973.60/42,738.78 = 18,233.20/x
  3. Step 3: Cross multiply
    30,973.60x = 42,738.78 × 18,233.20
  4. Step 4: Simplify right side
    30,973.60x = 779,264,723.50
  5. Step 5: Solve for x
    x = 779,264,723.50/30,973.60
  6. Step 6: Final answer
    x = 25,159.00

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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.