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Finding the Fourth Proportional to 23,602.64, 32,501.38 and 23,078.76

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Solution

The fourth proportional to 23,602.64, 32,501.38 and 23,078.76 is: 31,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,602.64 : 32,501.38 = 23,078.76 : x
  2. Step 2: Convert to fraction form
    23,602.64/32,501.38 = 23,078.76/x
  3. Step 3: Cross multiply
    23,602.64x = 32,501.38 × 23,078.76
  4. Step 4: Simplify right side
    23,602.64x = 750,091,548.69
  5. Step 5: Solve for x
    x = 750,091,548.69/23,602.64
  6. Step 6: Final answer
    x = 31,779.99

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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.