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Finding the Fourth Proportional to 113,598.72, 170,407.68 and 30,497.28

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Solution

The fourth proportional to 113,598.72, 170,407.68 and 30,497.28 is: 45,748.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,598.72 : 170,407.68 = 30,497.28 : x
  2. Step 2: Convert to fraction form
    113,598.72/170,407.68 = 30,497.28/x
  3. Step 3: Cross multiply
    113,598.72x = 170,407.68 × 30,497.28
  4. Step 4: Simplify right side
    113,598.72x = 5,196,970,731.11
  5. Step 5: Solve for x
    x = 5,196,970,731.11/113,598.72
  6. Step 6: Final answer
    x = 45,748.50

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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.