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Finding the Fourth Proportional to 47,312.98, 65,224.06 and 37,223.90

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Solution

The fourth proportional to 47,312.98, 65,224.06 and 37,223.90 is: 51,315.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,312.98 : 65,224.06 = 37,223.90 : x
  2. Step 2: Convert to fraction form
    47,312.98/65,224.06 = 37,223.90/x
  3. Step 3: Cross multiply
    47,312.98x = 65,224.06 × 37,223.90
  4. Step 4: Simplify right side
    47,312.98x = 2,427,893,887.03
  5. Step 5: Solve for x
    x = 2,427,893,887.03/47,312.98
  6. Step 6: Final answer
    x = 51,315.60

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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.