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Finding the Fourth Proportional to 92,070.02, 138,122.86 and 35,907.86

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Solution

The fourth proportional to 92,070.02, 138,122.86 and 35,907.86 is: 53,868.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,070.02 : 138,122.86 = 35,907.86 : x
  2. Step 2: Convert to fraction form
    92,070.02/138,122.86 = 35,907.86/x
  3. Step 3: Cross multiply
    92,070.02x = 138,122.86 × 35,907.86
  4. Step 4: Simplify right side
    92,070.02x = 4,959,696,319.68
  5. Step 5: Solve for x
    x = 4,959,696,319.68/92,070.02
  6. Step 6: Final answer
    x = 53,868.74

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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.