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Finding the Fourth Proportional to 52,455.68, 78,683.52 and 19,616

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Solution

The fourth proportional to 52,455.68, 78,683.52 and 19,616 is: 29,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,455.68 : 78,683.52 = 19,616 : x
  2. Step 2: Convert to fraction form
    52,455.68/78,683.52 = 19,616/x
  3. Step 3: Cross multiply
    52,455.68x = 78,683.52 × 19,616
  4. Step 4: Simplify right side
    52,455.68x = 1,543,455,928.32
  5. Step 5: Solve for x
    x = 1,543,455,928.32/52,455.68
  6. Step 6: Final answer
    x = 29,424.00

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Why These Related Problems?

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