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Finding the Fourth Proportional to 52,603.60, 78,858.42 and 19,315.93

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Solution

The fourth proportional to 52,603.60, 78,858.42 and 19,315.93 is: 28,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,603.60 : 78,858.42 = 19,315.93 : x
  2. Step 2: Convert to fraction form
    52,603.60/78,858.42 = 19,315.93/x
  3. Step 3: Cross multiply
    52,603.60x = 78,858.42 × 19,315.93
  4. Step 4: Simplify right side
    52,603.60x = 1,523,223,720.63
  5. Step 5: Solve for x
    x = 1,523,223,720.63/52,603.60
  6. Step 6: Final answer
    x = 28,956.64

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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.