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Finding the Fourth Proportional to 47,175.90, 70,748.79 and 15,580.08

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Solution

The fourth proportional to 47,175.90, 70,748.79 and 15,580.08 is: 23,365.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,175.90 : 70,748.79 = 15,580.08 : x
  2. Step 2: Convert to fraction form
    47,175.90/70,748.79 = 15,580.08/x
  3. Step 3: Cross multiply
    47,175.90x = 70,748.79 × 15,580.08
  4. Step 4: Simplify right side
    47,175.90x = 1,102,271,808.10
  5. Step 5: Solve for x
    x = 1,102,271,808.10/47,175.90
  6. Step 6: Final answer
    x = 23,365.15

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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.