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Finding the Fourth Proportional to 32,904, 45,407.70 and 18,000

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Solution

The fourth proportional to 32,904, 45,407.70 and 18,000 is: 24,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904 : 45,407.70 = 18,000 : x
  2. Step 2: Convert to fraction form
    32,904/45,407.70 = 18,000/x
  3. Step 3: Cross multiply
    32,904x = 45,407.70 × 18,000
  4. Step 4: Simplify right side
    32,904x = 817,338,600
  5. Step 5: Solve for x
    x = 817,338,600/32,904
  6. Step 6: Final answer
    x = 24,840.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.