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Finding the Fourth Proportional to 47,032.76, 64,906 and 25,814

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Solution

The fourth proportional to 47,032.76, 64,906 and 25,814 is: 35,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,032.76 : 64,906 = 25,814 : x
  2. Step 2: Convert to fraction form
    47,032.76/64,906 = 25,814/x
  3. Step 3: Cross multiply
    47,032.76x = 64,906 × 25,814
  4. Step 4: Simplify right side
    47,032.76x = 1,675,483,484
  5. Step 5: Solve for x
    x = 1,675,483,484/47,032.76
  6. Step 6: Final answer
    x = 35,623.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.