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Finding the Fourth Proportional to 75,430.88, 113,102.96 and 31,088.24

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Solution

The fourth proportional to 75,430.88, 113,102.96 and 31,088.24 is: 46,614.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,430.88 : 113,102.96 = 31,088.24 : x
  2. Step 2: Convert to fraction form
    75,430.88/113,102.96 = 31,088.24/x
  3. Step 3: Cross multiply
    75,430.88x = 113,102.96 × 31,088.24
  4. Step 4: Simplify right side
    75,430.88x = 3,516,171,965.19
  5. Step 5: Solve for x
    x = 3,516,171,965.19/75,430.88
  6. Step 6: Final answer
    x = 46,614.49

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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.