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Finding the Fourth Proportional to 97,146.51, 145,720.04 and 27,025.89

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Solution

The fourth proportional to 97,146.51, 145,720.04 and 27,025.89 is: 40,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,146.51 : 145,720.04 = 27,025.89 : x
  2. Step 2: Convert to fraction form
    97,146.51/145,720.04 = 27,025.89/x
  3. Step 3: Cross multiply
    97,146.51x = 145,720.04 × 27,025.89
  4. Step 4: Simplify right side
    97,146.51x = 3,938,213,636.71
  5. Step 5: Solve for x
    x = 3,938,213,636.71/97,146.51
  6. Step 6: Final answer
    x = 40,538.91

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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.