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Finding the Fourth Proportional to 92,094.40, 138,106.88 and 29,748.16

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Solution

The fourth proportional to 92,094.40, 138,106.88 and 29,748.16 is: 44,611.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,094.40 : 138,106.88 = 29,748.16 : x
  2. Step 2: Convert to fraction form
    92,094.40/138,106.88 = 29,748.16/x
  3. Step 3: Cross multiply
    92,094.40x = 138,106.88 × 29,748.16
  4. Step 4: Simplify right side
    92,094.40x = 4,108,425,563.34
  5. Step 5: Solve for x
    x = 4,108,425,563.34/92,094.40
  6. Step 6: Final answer
    x = 44,611.02

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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.