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Finding the Fourth Proportional to 37,538.68, 51,730.74 and 28,572

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Solution

The fourth proportional to 37,538.68, 51,730.74 and 28,572 is: 39,374.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,538.68 : 51,730.74 = 28,572 : x
  2. Step 2: Convert to fraction form
    37,538.68/51,730.74 = 28,572/x
  3. Step 3: Cross multiply
    37,538.68x = 51,730.74 × 28,572
  4. Step 4: Simplify right side
    37,538.68x = 1,478,050,703.28
  5. Step 5: Solve for x
    x = 1,478,050,703.28/37,538.68
  6. Step 6: Final answer
    x = 39,374.07

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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.