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Finding the Fourth Proportional to 53,537, 73,883 and 32,312.12

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Solution

The fourth proportional to 53,537, 73,883 and 32,312.12 is: 44,591.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,537 : 73,883 = 32,312.12 : x
  2. Step 2: Convert to fraction form
    53,537/73,883 = 32,312.12/x
  3. Step 3: Cross multiply
    53,537x = 73,883 × 32,312.12
  4. Step 4: Simplify right side
    53,537x = 2,387,316,361.96
  5. Step 5: Solve for x
    x = 2,387,316,361.96/53,537
  6. Step 6: Final answer
    x = 44,591.90

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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.