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Finding the Fourth Proportional to 53,852.32, 74,316.72 and 31,492

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Solution

The fourth proportional to 53,852.32, 74,316.72 and 31,492 is: 43,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,852.32 : 74,316.72 = 31,492 : x
  2. Step 2: Convert to fraction form
    53,852.32/74,316.72 = 31,492/x
  3. Step 3: Cross multiply
    53,852.32x = 74,316.72 × 31,492
  4. Step 4: Simplify right side
    53,852.32x = 2,340,382,146.24
  5. Step 5: Solve for x
    x = 2,340,382,146.24/53,852.32
  6. Step 6: Final answer
    x = 43,459.26

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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.