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Finding the Fourth Proportional to 82,686.30, 114,097.59 and 46,869.18

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Solution

The fourth proportional to 82,686.30, 114,097.59 and 46,869.18 is: 64,674.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,686.30 : 114,097.59 = 46,869.18 : x
  2. Step 2: Convert to fraction form
    82,686.30/114,097.59 = 46,869.18/x
  3. Step 3: Cross multiply
    82,686.30x = 114,097.59 × 46,869.18
  4. Step 4: Simplify right side
    82,686.30x = 5,347,660,483.28
  5. Step 5: Solve for x
    x = 5,347,660,483.28/82,686.30
  6. Step 6: Final answer
    x = 64,674.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.