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Finding the Fourth Proportional to 42,735.60, 64,103.40 and 42,152.40

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Solution

The fourth proportional to 42,735.60, 64,103.40 and 42,152.40 is: 63,228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,735.60 : 64,103.40 = 42,152.40 : x
  2. Step 2: Convert to fraction form
    42,735.60/64,103.40 = 42,152.40/x
  3. Step 3: Cross multiply
    42,735.60x = 64,103.40 × 42,152.40
  4. Step 4: Simplify right side
    42,735.60x = 2,702,112,158.16
  5. Step 5: Solve for x
    x = 2,702,112,158.16/42,735.60
  6. Step 6: Final answer
    x = 63,228.60

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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.