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Finding the Fourth Proportional to 82,681.19, 114,097.95 and 46,871.20

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Solution

The fourth proportional to 82,681.19, 114,097.95 and 46,871.20 is: 64,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,681.19 : 114,097.95 = 46,871.20 : x
  2. Step 2: Convert to fraction form
    82,681.19/114,097.95 = 46,871.20/x
  3. Step 3: Cross multiply
    82,681.19x = 114,097.95 × 46,871.20
  4. Step 4: Simplify right side
    82,681.19x = 5,347,907,834.04
  5. Step 5: Solve for x
    x = 5,347,907,834.04/82,681.19
  6. Step 6: Final answer
    x = 64,681.07

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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.