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Finding the Fourth Proportional to 38,124.61, 52,614.06 and 21,128.50

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Solution

The fourth proportional to 38,124.61, 52,614.06 and 21,128.50 is: 29,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,124.61 : 52,614.06 = 21,128.50 : x
  2. Step 2: Convert to fraction form
    38,124.61/52,614.06 = 21,128.50/x
  3. Step 3: Cross multiply
    38,124.61x = 52,614.06 × 21,128.50
  4. Step 4: Simplify right side
    38,124.61x = 1,111,656,166.71
  5. Step 5: Solve for x
    x = 1,111,656,166.71/38,124.61
  6. Step 6: Final answer
    x = 29,158.49

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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.