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Finding the Fourth Proportional to 74,762.56, 112,124.74 and 22,159.74

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Solution

The fourth proportional to 74,762.56, 112,124.74 and 22,159.74 is: 33,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,762.56 : 112,124.74 = 22,159.74 : x
  2. Step 2: Convert to fraction form
    74,762.56/112,124.74 = 22,159.74/x
  3. Step 3: Cross multiply
    74,762.56x = 112,124.74 × 22,159.74
  4. Step 4: Simplify right side
    74,762.56x = 2,484,655,085.97
  5. Step 5: Solve for x
    x = 2,484,655,085.97/74,762.56
  6. Step 6: Final answer
    x = 33,233.95

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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.