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Finding the Fourth Proportional to 102,026.52, 153,055.64 and 52,079.56

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Solution

The fourth proportional to 102,026.52, 153,055.64 and 52,079.56 is: 78,127.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.52 : 153,055.64 = 52,079.56 : x
  2. Step 2: Convert to fraction form
    102,026.52/153,055.64 = 52,079.56/x
  3. Step 3: Cross multiply
    102,026.52x = 153,055.64 × 52,079.56
  4. Step 4: Simplify right side
    102,026.52x = 7,971,070,386.72
  5. Step 5: Solve for x
    x = 7,971,070,386.72/102,026.52
  6. Step 6: Final answer
    x = 78,127.44

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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.