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Finding the Fourth Proportional to 30,799.76, 46,154.04 and 25,291.76

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Solution

The fourth proportional to 30,799.76, 46,154.04 and 25,291.76 is: 37,900.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,799.76 : 46,154.04 = 25,291.76 : x
  2. Step 2: Convert to fraction form
    30,799.76/46,154.04 = 25,291.76/x
  3. Step 3: Cross multiply
    30,799.76x = 46,154.04 × 25,291.76
  4. Step 4: Simplify right side
    30,799.76x = 1,167,316,902.71
  5. Step 5: Solve for x
    x = 1,167,316,902.71/30,799.76
  6. Step 6: Final answer
    x = 37,900.19

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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.