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Finding the Fourth Proportional to 76,352, 105,365.82 and 42,818

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Solution

The fourth proportional to 76,352, 105,365.82 and 42,818 is: 59,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,352 : 105,365.82 = 42,818 : x
  2. Step 2: Convert to fraction form
    76,352/105,365.82 = 42,818/x
  3. Step 3: Cross multiply
    76,352x = 105,365.82 × 42,818
  4. Step 4: Simplify right side
    76,352x = 4,511,553,680.76
  5. Step 5: Solve for x
    x = 4,511,553,680.76/76,352
  6. Step 6: Final answer
    x = 59,088.87

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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.