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Finding the Fourth Proportional to 78,182.10, 117,430.02 and 46,653.66

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Solution

The fourth proportional to 78,182.10, 117,430.02 and 46,653.66 is: 70,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,182.10 : 117,430.02 = 46,653.66 : x
  2. Step 2: Convert to fraction form
    78,182.10/117,430.02 = 46,653.66/x
  3. Step 3: Cross multiply
    78,182.10x = 117,430.02 × 46,653.66
  4. Step 4: Simplify right side
    78,182.10x = 5,478,540,226.87
  5. Step 5: Solve for x
    x = 5,478,540,226.87/78,182.10
  6. Step 6: Final answer
    x = 70,074.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.