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Finding the Fourth Proportional to 30,885.32, 46,327.98 and 12,413

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Solution

The fourth proportional to 30,885.32, 46,327.98 and 12,413 is: 18,619.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,885.32 : 46,327.98 = 12,413 : x
  2. Step 2: Convert to fraction form
    30,885.32/46,327.98 = 12,413/x
  3. Step 3: Cross multiply
    30,885.32x = 46,327.98 × 12,413
  4. Step 4: Simplify right side
    30,885.32x = 575,069,215.74
  5. Step 5: Solve for x
    x = 575,069,215.74/30,885.32
  6. Step 6: Final answer
    x = 18,619.50

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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.