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Finding the Fourth Proportional to 47,374, 65,374.84 and 26,152.80

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Solution

The fourth proportional to 47,374, 65,374.84 and 26,152.80 is: 36,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,374 : 65,374.84 = 26,152.80 : x
  2. Step 2: Convert to fraction form
    47,374/65,374.84 = 26,152.80/x
  3. Step 3: Cross multiply
    47,374x = 65,374.84 × 26,152.80
  4. Step 4: Simplify right side
    47,374x = 1,709,735,115.55
  5. Step 5: Solve for x
    x = 1,709,735,115.55/47,374
  6. Step 6: Final answer
    x = 36,090.16

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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.