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Finding the Fourth Proportional to 56,516.16, 84,682.08 and 28,776

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Solution

The fourth proportional to 56,516.16, 84,682.08 and 28,776 is: 43,117.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516.16 : 84,682.08 = 28,776 : x
  2. Step 2: Convert to fraction form
    56,516.16/84,682.08 = 28,776/x
  3. Step 3: Cross multiply
    56,516.16x = 84,682.08 × 28,776
  4. Step 4: Simplify right side
    56,516.16x = 2,436,811,534.08
  5. Step 5: Solve for x
    x = 2,436,811,534.08/56,516.16
  6. Step 6: Final answer
    x = 43,117.08

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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.