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Finding the Fourth Proportional to 30,430.62, 42,047.91 and 23,417.64

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Solution

The fourth proportional to 30,430.62, 42,047.91 and 23,417.64 is: 32,357.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,430.62 : 42,047.91 = 23,417.64 : x
  2. Step 2: Convert to fraction form
    30,430.62/42,047.91 = 23,417.64/x
  3. Step 3: Cross multiply
    30,430.62x = 42,047.91 × 23,417.64
  4. Step 4: Simplify right side
    30,430.62x = 984,662,819.13
  5. Step 5: Solve for x
    x = 984,662,819.13/30,430.62
  6. Step 6: Final answer
    x = 32,357.63

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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.