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Finding the Fourth Proportional to 30,882.48, 46,323.72 and 7,508.71

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Solution

The fourth proportional to 30,882.48, 46,323.72 and 7,508.71 is: 11,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.48 : 46,323.72 = 7,508.71 : x
  2. Step 2: Convert to fraction form
    30,882.48/46,323.72 = 7,508.71/x
  3. Step 3: Cross multiply
    30,882.48x = 46,323.72 × 7,508.71
  4. Step 4: Simplify right side
    30,882.48x = 347,831,437.51
  5. Step 5: Solve for x
    x = 347,831,437.51/30,882.48
  6. Step 6: Final answer
    x = 11,263.07

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1.5x scale

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.