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Finding the Fourth Proportional to 32,577.48, 48,833.40 and 12,848.40

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Solution

The fourth proportional to 32,577.48, 48,833.40 and 12,848.40 is: 19,259.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.48 : 48,833.40 = 12,848.40 : x
  2. Step 2: Convert to fraction form
    32,577.48/48,833.40 = 12,848.40/x
  3. Step 3: Cross multiply
    32,577.48x = 48,833.40 × 12,848.40
  4. Step 4: Simplify right side
    32,577.48x = 627,431,056.56
  5. Step 5: Solve for x
    x = 627,431,056.56/32,577.48
  6. Step 6: Final answer
    x = 19,259.66

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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.