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Finding the Fourth Proportional to 115,258, 172,887 and 37,434

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Solution

The fourth proportional to 115,258, 172,887 and 37,434 is: 56,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,258 : 172,887 = 37,434 : x
  2. Step 2: Convert to fraction form
    115,258/172,887 = 37,434/x
  3. Step 3: Cross multiply
    115,258x = 172,887 × 37,434
  4. Step 4: Simplify right side
    115,258x = 6,471,851,958
  5. Step 5: Solve for x
    x = 6,471,851,958/115,258
  6. Step 6: Final answer
    x = 56,151

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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.