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Finding the Fourth Proportional to 37,352, 51,545.76 and 20,585.36

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Solution

The fourth proportional to 37,352, 51,545.76 and 20,585.36 is: 28,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,352 : 51,545.76 = 20,585.36 : x
  2. Step 2: Convert to fraction form
    37,352/51,545.76 = 20,585.36/x
  3. Step 3: Cross multiply
    37,352x = 51,545.76 × 20,585.36
  4. Step 4: Simplify right side
    37,352x = 1,061,088,026.07
  5. Step 5: Solve for x
    x = 1,061,088,026.07/37,352
  6. Step 6: Final answer
    x = 28,407.80

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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.