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Finding the Fourth Proportional to 32,580.86, 48,838.08 and 12,848.48

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Solution

The fourth proportional to 32,580.86, 48,838.08 and 12,848.48 is: 19,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,580.86 : 48,838.08 = 12,848.48 : x
  2. Step 2: Convert to fraction form
    32,580.86/48,838.08 = 12,848.48/x
  3. Step 3: Cross multiply
    32,580.86x = 48,838.08 × 12,848.48
  4. Step 4: Simplify right side
    32,580.86x = 627,495,094.12
  5. Step 5: Solve for x
    x = 627,495,094.12/32,580.86
  6. Step 6: Final answer
    x = 19,259.62

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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.