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Finding the Fourth Proportional to 92,088.40, 138,097.88 and 29,742.16

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Solution

The fourth proportional to 92,088.40, 138,097.88 and 29,742.16 is: 44,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,088.40 : 138,097.88 = 29,742.16 : x
  2. Step 2: Convert to fraction form
    92,088.40/138,097.88 = 29,742.16/x
  3. Step 3: Cross multiply
    92,088.40x = 138,097.88 × 29,742.16
  4. Step 4: Simplify right side
    92,088.40x = 4,107,329,242.62
  5. Step 5: Solve for x
    x = 4,107,329,242.62/92,088.40
  6. Step 6: Final answer
    x = 44,602.03

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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.