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Finding the Fourth Proportional to 38,275.80, 57,430.44 and 14,894.16

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Solution

The fourth proportional to 38,275.80, 57,430.44 and 14,894.16 is: 22,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,275.80 : 57,430.44 = 14,894.16 : x
  2. Step 2: Convert to fraction form
    38,275.80/57,430.44 = 14,894.16/x
  3. Step 3: Cross multiply
    38,275.80x = 57,430.44 × 14,894.16
  4. Step 4: Simplify right side
    38,275.80x = 855,378,162.23
  5. Step 5: Solve for x
    x = 855,378,162.23/38,275.80
  6. Step 6: Final answer
    x = 22,347.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.