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Finding the Fourth Proportional to 52,602.44, 78,904.14 and 19,323.08

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Solution

The fourth proportional to 52,602.44, 78,904.14 and 19,323.08 is: 28,984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,602.44 : 78,904.14 = 19,323.08 : x
  2. Step 2: Convert to fraction form
    52,602.44/78,904.14 = 19,323.08/x
  3. Step 3: Cross multiply
    52,602.44x = 78,904.14 × 19,323.08
  4. Step 4: Simplify right side
    52,602.44x = 1,524,671,009.55
  5. Step 5: Solve for x
    x = 1,524,671,009.55/52,602.44
  6. Step 6: Final answer
    x = 28,984.80

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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.