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Finding the Fourth Proportional to 73,920.50, 102,010.30 and 40,386.50

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Solution

The fourth proportional to 73,920.50, 102,010.30 and 40,386.50 is: 55,733.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,920.50 : 102,010.30 = 40,386.50 : x
  2. Step 2: Convert to fraction form
    73,920.50/102,010.30 = 40,386.50/x
  3. Step 3: Cross multiply
    73,920.50x = 102,010.30 × 40,386.50
  4. Step 4: Simplify right side
    73,920.50x = 4,119,838,980.95
  5. Step 5: Solve for x
    x = 4,119,838,980.95/73,920.50
  6. Step 6: Final answer
    x = 55,733.38

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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.