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Finding the Fourth Proportional to 59,312.16, 81,858 and 33,824.80

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Solution

The fourth proportional to 59,312.16, 81,858 and 33,824.80 is: 46,682.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,312.16 : 81,858 = 33,824.80 : x
  2. Step 2: Convert to fraction form
    59,312.16/81,858 = 33,824.80/x
  3. Step 3: Cross multiply
    59,312.16x = 81,858 × 33,824.80
  4. Step 4: Simplify right side
    59,312.16x = 2,768,830,478.40
  5. Step 5: Solve for x
    x = 2,768,830,478.40/59,312.16
  6. Step 6: Final answer
    x = 46,682.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.