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Finding the Fourth Proportional to 72,032, 99,415.68 and 42,224

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Solution

The fourth proportional to 72,032, 99,415.68 and 42,224 is: 58,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,032 : 99,415.68 = 42,224 : x
  2. Step 2: Convert to fraction form
    72,032/99,415.68 = 42,224/x
  3. Step 3: Cross multiply
    72,032x = 99,415.68 × 42,224
  4. Step 4: Simplify right side
    72,032x = 4,197,727,672.32
  5. Step 5: Solve for x
    x = 4,197,727,672.32/72,032
  6. Step 6: Final answer
    x = 58,275.87

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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.