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Finding the Fourth Proportional to 82,123.16, 113,326.50 and 46,316.50

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Solution

The fourth proportional to 82,123.16, 113,326.50 and 46,316.50 is: 63,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,123.16 : 113,326.50 = 46,316.50 : x
  2. Step 2: Convert to fraction form
    82,123.16/113,326.50 = 46,316.50/x
  3. Step 3: Cross multiply
    82,123.16x = 113,326.50 × 46,316.50
  4. Step 4: Simplify right side
    82,123.16x = 5,248,886,727.62
  5. Step 5: Solve for x
    x = 5,248,886,727.62/82,123.16
  6. Step 6: Final answer
    x = 63,914.82

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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.