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Finding the Fourth Proportional to 32,509.82, 48,760.40 and 12,783.08

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Solution

The fourth proportional to 32,509.82, 48,760.40 and 12,783.08 is: 19,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,509.82 : 48,760.40 = 12,783.08 : x
  2. Step 2: Convert to fraction form
    32,509.82/48,760.40 = 12,783.08/x
  3. Step 3: Cross multiply
    32,509.82x = 48,760.40 × 12,783.08
  4. Step 4: Simplify right side
    32,509.82x = 623,308,094.03
  5. Step 5: Solve for x
    x = 623,308,094.03/32,509.82
  6. Step 6: Final answer
    x = 19,172.92

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1.5x scale

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.