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Finding the Fourth Proportional to 42,855.20, 64,259.76 and 13,260.32

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Solution

The fourth proportional to 42,855.20, 64,259.76 and 13,260.32 is: 19,883.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,855.20 : 64,259.76 = 13,260.32 : x
  2. Step 2: Convert to fraction form
    42,855.20/64,259.76 = 13,260.32/x
  3. Step 3: Cross multiply
    42,855.20x = 64,259.76 × 13,260.32
  4. Step 4: Simplify right side
    42,855.20x = 852,104,980.72
  5. Step 5: Solve for x
    x = 852,104,980.72/42,855.20
  6. Step 6: Final answer
    x = 19,883.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.