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Finding the Fourth Proportional to 38,495.55, 53,174.86 and 30,970.23

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Solution

The fourth proportional to 38,495.55, 53,174.86 and 30,970.23 is: 42,779.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,495.55 : 53,174.86 = 30,970.23 : x
  2. Step 2: Convert to fraction form
    38,495.55/53,174.86 = 30,970.23/x
  3. Step 3: Cross multiply
    38,495.55x = 53,174.86 × 30,970.23
  4. Step 4: Simplify right side
    38,495.55x = 1,646,837,644.42
  5. Step 5: Solve for x
    x = 1,646,837,644.42/38,495.55
  6. Step 6: Final answer
    x = 42,779.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.