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Finding the Fourth Proportional to 94,464, 130,360.50 and 52,026.48

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Solution

The fourth proportional to 94,464, 130,360.50 and 52,026.48 is: 71,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,464 : 130,360.50 = 52,026.48 : x
  2. Step 2: Convert to fraction form
    94,464/130,360.50 = 52,026.48/x
  3. Step 3: Cross multiply
    94,464x = 130,360.50 × 52,026.48
  4. Step 4: Simplify right side
    94,464x = 6,782,197,946.04
  5. Step 5: Solve for x
    x = 6,782,197,946.04/94,464
  6. Step 6: Final answer
    x = 71,796.64

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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.