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Finding the Fourth Proportional to 52,030.91, 71,803.16 and 28,158.08

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Solution

The fourth proportional to 52,030.91, 71,803.16 and 28,158.08 is: 38,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,030.91 : 71,803.16 = 28,158.08 : x
  2. Step 2: Convert to fraction form
    52,030.91/71,803.16 = 28,158.08/x
  3. Step 3: Cross multiply
    52,030.91x = 71,803.16 × 28,158.08
  4. Step 4: Simplify right side
    52,030.91x = 2,021,838,623.73
  5. Step 5: Solve for x
    x = 2,021,838,623.73/52,030.91
  6. Step 6: Final answer
    x = 38,858.42

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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.