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Finding the Fourth Proportional to 81,460.84, 112,417.32 and 45,658.84

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Solution

The fourth proportional to 81,460.84, 112,417.32 and 45,658.84 is: 63,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460.84 : 112,417.32 = 45,658.84 : x
  2. Step 2: Convert to fraction form
    81,460.84/112,417.32 = 45,658.84/x
  3. Step 3: Cross multiply
    81,460.84x = 112,417.32 × 45,658.84
  4. Step 4: Simplify right side
    81,460.84x = 5,132,844,427.11
  5. Step 5: Solve for x
    x = 5,132,844,427.11/81,460.84
  6. Step 6: Final answer
    x = 63,009.96

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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.