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Finding the Fourth Proportional to 30,047.90, 45,071.91 and 28,221.08

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Solution

The fourth proportional to 30,047.90, 45,071.91 and 28,221.08 is: 42,331.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,047.90 : 45,071.91 = 28,221.08 : x
  2. Step 2: Convert to fraction form
    30,047.90/45,071.91 = 28,221.08/x
  3. Step 3: Cross multiply
    30,047.90x = 45,071.91 × 28,221.08
  4. Step 4: Simplify right side
    30,047.90x = 1,271,977,752.50
  5. Step 5: Solve for x
    x = 1,271,977,752.50/30,047.90
  6. Step 6: Final answer
    x = 42,331.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.