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Finding the Fourth Proportional to 42,291.60, 63,441.72 and 14,586

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Solution

The fourth proportional to 42,291.60, 63,441.72 and 14,586 is: 21,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,291.60 : 63,441.72 = 14,586 : x
  2. Step 2: Convert to fraction form
    42,291.60/63,441.72 = 14,586/x
  3. Step 3: Cross multiply
    42,291.60x = 63,441.72 × 14,586
  4. Step 4: Simplify right side
    42,291.60x = 925,360,927.92
  5. Step 5: Solve for x
    x = 925,360,927.92/42,291.60
  6. Step 6: Final answer
    x = 21,880.49

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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.