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Finding the Fourth Proportional to 52,886.72, 79,323.20 and 30,712

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Solution

The fourth proportional to 52,886.72, 79,323.20 and 30,712 is: 46,064.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,886.72 : 79,323.20 = 30,712 : x
  2. Step 2: Convert to fraction form
    52,886.72/79,323.20 = 30,712/x
  3. Step 3: Cross multiply
    52,886.72x = 79,323.20 × 30,712
  4. Step 4: Simplify right side
    52,886.72x = 2,436,174,118.40
  5. Step 5: Solve for x
    x = 2,436,174,118.40/52,886.72
  6. Step 6: Final answer
    x = 46,064.00

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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.