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Finding the Fourth Proportional to 47,477.76, 65,528.40 and 27,348

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Solution

The fourth proportional to 47,477.76, 65,528.40 and 27,348 is: 37,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.76 : 65,528.40 = 27,348 : x
  2. Step 2: Convert to fraction form
    47,477.76/65,528.40 = 27,348/x
  3. Step 3: Cross multiply
    47,477.76x = 65,528.40 × 27,348
  4. Step 4: Simplify right side
    47,477.76x = 1,792,070,683.20
  5. Step 5: Solve for x
    x = 1,792,070,683.20/47,477.76
  6. Step 6: Final answer
    x = 37,745.48

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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.