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Finding the Fourth Proportional to 82,802.82, 114,263.94 and 46,987.95

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Solution

The fourth proportional to 82,802.82, 114,263.94 and 46,987.95 is: 64,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,802.82 : 114,263.94 = 46,987.95 : x
  2. Step 2: Convert to fraction form
    82,802.82/114,263.94 = 46,987.95/x
  3. Step 3: Cross multiply
    82,802.82x = 114,263.94 × 46,987.95
  4. Step 4: Simplify right side
    82,802.82x = 5,369,028,299.52
  5. Step 5: Solve for x
    x = 5,369,028,299.52/82,802.82
  6. Step 6: Final answer
    x = 64,841.13

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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.