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Finding the Fourth Proportional to 77,145.60, 115,689.60 and 53,702.40

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Solution

The fourth proportional to 77,145.60, 115,689.60 and 53,702.40 is: 80,533.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,145.60 : 115,689.60 = 53,702.40 : x
  2. Step 2: Convert to fraction form
    77,145.60/115,689.60 = 53,702.40/x
  3. Step 3: Cross multiply
    77,145.60x = 115,689.60 × 53,702.40
  4. Step 4: Simplify right side
    77,145.60x = 6,212,809,175.04
  5. Step 5: Solve for x
    x = 6,212,809,175.04/77,145.60
  6. Step 6: Final answer
    x = 80,533.55

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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.