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Finding the Fourth Proportional to 74,971.02, 112,475 and 52,827.65

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Solution

The fourth proportional to 74,971.02, 112,475 and 52,827.65 is: 79,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,971.02 : 112,475 = 52,827.65 : x
  2. Step 2: Convert to fraction form
    74,971.02/112,475 = 52,827.65/x
  3. Step 3: Cross multiply
    74,971.02x = 112,475 × 52,827.65
  4. Step 4: Simplify right side
    74,971.02x = 5,941,789,933.75
  5. Step 5: Solve for x
    x = 5,941,789,933.75/74,971.02
  6. Step 6: Final answer
    x = 79,254.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.