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Finding the Fourth Proportional to 52,194.15, 72,087.75 and 34,368.84

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Solution

The fourth proportional to 52,194.15, 72,087.75 and 34,368.84 is: 47,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,194.15 : 72,087.75 = 34,368.84 : x
  2. Step 2: Convert to fraction form
    52,194.15/72,087.75 = 34,368.84/x
  3. Step 3: Cross multiply
    52,194.15x = 72,087.75 × 34,368.84
  4. Step 4: Simplify right side
    52,194.15x = 2,477,572,345.71
  5. Step 5: Solve for x
    x = 2,477,572,345.71/52,194.15
  6. Step 6: Final answer
    x = 47,468.39

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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.