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Finding the Fourth Proportional to 53,308.50, 73,572.21 and 30,952.50

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Solution

The fourth proportional to 53,308.50, 73,572.21 and 30,952.50 is: 42,718.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,308.50 : 73,572.21 = 30,952.50 : x
  2. Step 2: Convert to fraction form
    53,308.50/73,572.21 = 30,952.50/x
  3. Step 3: Cross multiply
    53,308.50x = 73,572.21 × 30,952.50
  4. Step 4: Simplify right side
    53,308.50x = 2,277,243,830.03
  5. Step 5: Solve for x
    x = 2,277,243,830.03/53,308.50
  6. Step 6: Final answer
    x = 42,718.21

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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.