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Finding the Fourth Proportional to 46,334.61, 69,624.81 and 25,290

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Solution

The fourth proportional to 46,334.61, 69,624.81 and 25,290 is: 38,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,334.61 : 69,624.81 = 25,290 : x
  2. Step 2: Convert to fraction form
    46,334.61/69,624.81 = 25,290/x
  3. Step 3: Cross multiply
    46,334.61x = 69,624.81 × 25,290
  4. Step 4: Simplify right side
    46,334.61x = 1,760,811,444.90
  5. Step 5: Solve for x
    x = 1,760,811,444.90/46,334.61
  6. Step 6: Final answer
    x = 38,002.08

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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.