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Finding the Fourth Proportional to 53,291.32, 79,952.88 and 15,852.64

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Solution

The fourth proportional to 53,291.32, 79,952.88 and 15,852.64 is: 23,783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,291.32 : 79,952.88 = 15,852.64 : x
  2. Step 2: Convert to fraction form
    53,291.32/79,952.88 = 15,852.64/x
  3. Step 3: Cross multiply
    53,291.32x = 79,952.88 × 15,852.64
  4. Step 4: Simplify right side
    53,291.32x = 1,267,464,223.60
  5. Step 5: Solve for x
    x = 1,267,464,223.60/53,291.32
  6. Step 6: Final answer
    x = 23,783.69

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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.