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Finding the Fourth Proportional to 58,684.56, 80,916.48 and 42,776.16

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Solution

The fourth proportional to 58,684.56, 80,916.48 and 42,776.16 is: 58,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,684.56 : 80,916.48 = 42,776.16 : x
  2. Step 2: Convert to fraction form
    58,684.56/80,916.48 = 42,776.16/x
  3. Step 3: Cross multiply
    58,684.56x = 80,916.48 × 42,776.16
  4. Step 4: Simplify right side
    58,684.56x = 3,461,296,295.12
  5. Step 5: Solve for x
    x = 3,461,296,295.12/58,684.56
  6. Step 6: Final answer
    x = 58,981.38

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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.