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Finding the Fourth Proportional to 47,041.90, 64,915.45 and 27,922.51

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Solution

The fourth proportional to 47,041.90, 64,915.45 and 27,922.51 is: 38,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,041.90 : 64,915.45 = 27,922.51 : x
  2. Step 2: Convert to fraction form
    47,041.90/64,915.45 = 27,922.51/x
  3. Step 3: Cross multiply
    47,041.90x = 64,915.45 × 27,922.51
  4. Step 4: Simplify right side
    47,041.90x = 1,812,602,301.78
  5. Step 5: Solve for x
    x = 1,812,602,301.78/47,041.90
  6. Step 6: Final answer
    x = 38,531.66

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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.