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Finding the Fourth Proportional to 40,762.39, 61,098.70 and 30,735

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Solution

The fourth proportional to 40,762.39, 61,098.70 and 30,735 is: 46,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,762.39 : 61,098.70 = 30,735 : x
  2. Step 2: Convert to fraction form
    40,762.39/61,098.70 = 30,735/x
  3. Step 3: Cross multiply
    40,762.39x = 61,098.70 × 30,735
  4. Step 4: Simplify right side
    40,762.39x = 1,877,868,544.50
  5. Step 5: Solve for x
    x = 1,877,868,544.50/40,762.39
  6. Step 6: Final answer
    x = 46,068.66

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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.