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Finding the Fourth Proportional to 53,596, 73,962.48 and 31,244.32

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Solution

The fourth proportional to 53,596, 73,962.48 and 31,244.32 is: 43,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,596 : 73,962.48 = 31,244.32 : x
  2. Step 2: Convert to fraction form
    53,596/73,962.48 = 31,244.32/x
  3. Step 3: Cross multiply
    53,596x = 73,962.48 × 31,244.32
  4. Step 4: Simplify right side
    53,596x = 2,310,907,393.11
  5. Step 5: Solve for x
    x = 2,310,907,393.11/53,596
  6. Step 6: Final answer
    x = 43,117.16

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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.