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Finding the Fourth Proportional to 43,897.64, 65,852.80 and 14,308.16

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Solution

The fourth proportional to 43,897.64, 65,852.80 and 14,308.16 is: 21,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,897.64 : 65,852.80 = 14,308.16 : x
  2. Step 2: Convert to fraction form
    43,897.64/65,852.80 = 14,308.16/x
  3. Step 3: Cross multiply
    43,897.64x = 65,852.80 × 14,308.16
  4. Step 4: Simplify right side
    43,897.64x = 942,232,398.85
  5. Step 5: Solve for x
    x = 942,232,398.85/43,897.64
  6. Step 6: Final answer
    x = 21,464.31

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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.