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Finding the Fourth Proportional to 78,095.01, 117,141.48 and 18,931.22

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Solution

The fourth proportional to 78,095.01, 117,141.48 and 18,931.22 is: 28,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,095.01 : 117,141.48 = 18,931.22 : x
  2. Step 2: Convert to fraction form
    78,095.01/117,141.48 = 18,931.22/x
  3. Step 3: Cross multiply
    78,095.01x = 117,141.48 × 18,931.22
  4. Step 4: Simplify right side
    78,095.01x = 2,217,630,543.30
  5. Step 5: Solve for x
    x = 2,217,630,543.30/78,095.01
  6. Step 6: Final answer
    x = 28,396.57

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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.