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Finding the Fourth Proportional to 76,495.32, 105,560.82 and 42,503.40

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Solution

The fourth proportional to 76,495.32, 105,560.82 and 42,503.40 is: 58,653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,495.32 : 105,560.82 = 42,503.40 : x
  2. Step 2: Convert to fraction form
    76,495.32/105,560.82 = 42,503.40/x
  3. Step 3: Cross multiply
    76,495.32x = 105,560.82 × 42,503.40
  4. Step 4: Simplify right side
    76,495.32x = 4,486,693,756.79
  5. Step 5: Solve for x
    x = 4,486,693,756.79/76,495.32
  6. Step 6: Final answer
    x = 58,653.18

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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.