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Finding the Fourth Proportional to 97,310, 145,964.13 and 30,750.14

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Solution

The fourth proportional to 97,310, 145,964.13 and 30,750.14 is: 46,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,310 : 145,964.13 = 30,750.14 : x
  2. Step 2: Convert to fraction form
    97,310/145,964.13 = 30,750.14/x
  3. Step 3: Cross multiply
    97,310x = 145,964.13 × 30,750.14
  4. Step 4: Simplify right side
    97,310x = 4,488,417,432.48
  5. Step 5: Solve for x
    x = 4,488,417,432.48/97,310
  6. Step 6: Final answer
    x = 46,124.94

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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.