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Finding the Fourth Proportional to 52,416.36, 72,333.54 and 28,543.32

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Solution

The fourth proportional to 52,416.36, 72,333.54 and 28,543.32 is: 39,389.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,416.36 : 72,333.54 = 28,543.32 : x
  2. Step 2: Convert to fraction form
    52,416.36/72,333.54 = 28,543.32/x
  3. Step 3: Cross multiply
    52,416.36x = 72,333.54 × 28,543.32
  4. Step 4: Simplify right side
    52,416.36x = 2,064,639,378.95
  5. Step 5: Solve for x
    x = 2,064,639,378.95/52,416.36
  6. Step 6: Final answer
    x = 39,389.22

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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.