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Finding the Fourth Proportional to 53,827, 74,281.26 and 30,275

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Solution

The fourth proportional to 53,827, 74,281.26 and 30,275 is: 41,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,827 : 74,281.26 = 30,275 : x
  2. Step 2: Convert to fraction form
    53,827/74,281.26 = 30,275/x
  3. Step 3: Cross multiply
    53,827x = 74,281.26 × 30,275
  4. Step 4: Simplify right side
    53,827x = 2,248,865,146.50
  5. Step 5: Solve for x
    x = 2,248,865,146.50/53,827
  6. Step 6: Final answer
    x = 41,779.50

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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.