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Finding the Fourth Proportional to 76,405.34, 105,437.70 and 42,411.84

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Solution

The fourth proportional to 76,405.34, 105,437.70 and 42,411.84 is: 58,527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,405.34 : 105,437.70 = 42,411.84 : x
  2. Step 2: Convert to fraction form
    76,405.34/105,437.70 = 42,411.84/x
  3. Step 3: Cross multiply
    76,405.34x = 105,437.70 × 42,411.84
  4. Step 4: Simplify right side
    76,405.34x = 4,471,806,862.37
  5. Step 5: Solve for x
    x = 4,471,806,862.37/76,405.34
  6. Step 6: Final answer
    x = 58,527.41

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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.