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Finding the Fourth Proportional to 76,403, 105,435.30 and 42,411.76

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Solution

The fourth proportional to 76,403, 105,435.30 and 42,411.76 is: 58,527.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,403 : 105,435.30 = 42,411.76 : x
  2. Step 2: Convert to fraction form
    76,403/105,435.30 = 42,411.76/x
  3. Step 3: Cross multiply
    76,403x = 105,435.30 × 42,411.76
  4. Step 4: Simplify right side
    76,403x = 4,471,696,639.13
  5. Step 5: Solve for x
    x = 4,471,696,639.13/76,403
  6. Step 6: Final answer
    x = 58,527.76

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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.