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Finding the Fourth Proportional to 81,507, 112,479.97 and 47,538.95

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Solution

The fourth proportional to 81,507, 112,479.97 and 47,538.95 is: 65,603.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,507 : 112,479.97 = 47,538.95 : x
  2. Step 2: Convert to fraction form
    81,507/112,479.97 = 47,538.95/x
  3. Step 3: Cross multiply
    81,507x = 112,479.97 × 47,538.95
  4. Step 4: Simplify right side
    81,507x = 5,347,178,988.58
  5. Step 5: Solve for x
    x = 5,347,178,988.58/81,507
  6. Step 6: Final answer
    x = 65,603.92

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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.