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Finding the Fourth Proportional to 52,355.66, 78,486.98 and 19,069.52

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Solution

The fourth proportional to 52,355.66, 78,486.98 and 19,069.52 is: 28,587.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,355.66 : 78,486.98 = 19,069.52 : x
  2. Step 2: Convert to fraction form
    52,355.66/78,486.98 = 19,069.52/x
  3. Step 3: Cross multiply
    52,355.66x = 78,486.98 × 19,069.52
  4. Step 4: Simplify right side
    52,355.66x = 1,496,708,547.07
  5. Step 5: Solve for x
    x = 1,496,708,547.07/52,355.66
  6. Step 6: Final answer
    x = 28,587.33

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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.