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Finding the Fourth Proportional to 52,707.84, 72,702.72 and 39,267.84

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Solution

The fourth proportional to 52,707.84, 72,702.72 and 39,267.84 is: 54,164.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,707.84 : 72,702.72 = 39,267.84 : x
  2. Step 2: Convert to fraction form
    52,707.84/72,702.72 = 39,267.84/x
  3. Step 3: Cross multiply
    52,707.84x = 72,702.72 × 39,267.84
  4. Step 4: Simplify right side
    52,707.84x = 2,854,878,776.52
  5. Step 5: Solve for x
    x = 2,854,878,776.52/52,707.84
  6. Step 6: Final answer
    x = 54,164.21

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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.