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Finding the Fourth Proportional to 42,894.84, 64,343.04 and 13,313.64

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Solution

The fourth proportional to 42,894.84, 64,343.04 and 13,313.64 is: 19,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,894.84 : 64,343.04 = 13,313.64 : x
  2. Step 2: Convert to fraction form
    42,894.84/64,343.04 = 13,313.64/x
  3. Step 3: Cross multiply
    42,894.84x = 64,343.04 × 13,313.64
  4. Step 4: Simplify right side
    42,894.84x = 856,640,071.07
  5. Step 5: Solve for x
    x = 856,640,071.07/42,894.84
  6. Step 6: Final answer
    x = 19,970.70

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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.