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Finding the Fourth Proportional to 52,497, 72,445.86 and 33,645.06

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Solution

The fourth proportional to 52,497, 72,445.86 and 33,645.06 is: 46,430.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,497 : 72,445.86 = 33,645.06 : x
  2. Step 2: Convert to fraction form
    52,497/72,445.86 = 33,645.06/x
  3. Step 3: Cross multiply
    52,497x = 72,445.86 × 33,645.06
  4. Step 4: Simplify right side
    52,497x = 2,437,445,306.45
  5. Step 5: Solve for x
    x = 2,437,445,306.45/52,497
  6. Step 6: Final answer
    x = 46,430.18

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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.