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Finding the Fourth Proportional to 72,032.50, 99,416.37 and 42,224.50

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Solution

The fourth proportional to 72,032.50, 99,416.37 and 42,224.50 is: 58,276.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032.50 : 99,416.37 = 42,224.50 : x
  2. Step 2: Convert to fraction form
    72,032.50/99,416.37 = 42,224.50/x
  3. Step 3: Cross multiply
    72,032.50x = 99,416.37 × 42,224.50
  4. Step 4: Simplify right side
    72,032.50x = 4,197,806,515.07
  5. Step 5: Solve for x
    x = 4,197,806,515.07/72,032.50
  6. Step 6: Final answer
    x = 58,276.56

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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.