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Finding the Fourth Proportional to 42,880.90, 64,330.80 and 14,416.88

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Solution

The fourth proportional to 42,880.90, 64,330.80 and 14,416.88 is: 21,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,880.90 : 64,330.80 = 14,416.88 : x
  2. Step 2: Convert to fraction form
    42,880.90/64,330.80 = 14,416.88/x
  3. Step 3: Cross multiply
    42,880.90x = 64,330.80 × 14,416.88
  4. Step 4: Simplify right side
    42,880.90x = 927,449,423.90
  5. Step 5: Solve for x
    x = 927,449,423.90/42,880.90
  6. Step 6: Final answer
    x = 21,628.50

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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.