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Finding the Fourth Proportional to 53,205, 79,807.90 and 23,614.88

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Solution

The fourth proportional to 53,205, 79,807.90 and 23,614.88 is: 35,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,205 : 79,807.90 = 23,614.88 : x
  2. Step 2: Convert to fraction form
    53,205/79,807.90 = 23,614.88/x
  3. Step 3: Cross multiply
    53,205x = 79,807.90 × 23,614.88
  4. Step 4: Simplify right side
    53,205x = 1,884,653,981.55
  5. Step 5: Solve for x
    x = 1,884,653,981.55/53,205
  6. Step 6: Final answer
    x = 35,422.50

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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.