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Finding the Fourth Proportional to 52,030.94, 71,802.18 and 28,157.09

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Solution

The fourth proportional to 52,030.94, 71,802.18 and 28,157.09 is: 38,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.94 : 71,802.18 = 28,157.09 : x
  2. Step 2: Convert to fraction form
    52,030.94/71,802.18 = 28,157.09/x
  3. Step 3: Cross multiply
    52,030.94x = 71,802.18 × 28,157.09
  4. Step 4: Simplify right side
    52,030.94x = 2,021,740,085.45
  5. Step 5: Solve for x
    x = 2,021,740,085.45/52,030.94
  6. Step 6: Final answer
    x = 38,856.50

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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.