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Finding the Fourth Proportional to 92,424, 138,646.95 and 30,094.50

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Solution

The fourth proportional to 92,424, 138,646.95 and 30,094.50 is: 45,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424 : 138,646.95 = 30,094.50 : x
  2. Step 2: Convert to fraction form
    92,424/138,646.95 = 30,094.50/x
  3. Step 3: Cross multiply
    92,424x = 138,646.95 × 30,094.50
  4. Step 4: Simplify right side
    92,424x = 4,172,510,636.78
  5. Step 5: Solve for x
    x = 4,172,510,636.78/92,424
  6. Step 6: Final answer
    x = 45,145.32

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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.