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Finding the Fourth Proportional to 46,656.57, 70,005.53 and 24,464.67

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Solution

The fourth proportional to 46,656.57, 70,005.53 and 24,464.67 is: 36,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,656.57 : 70,005.53 = 24,464.67 : x
  2. Step 2: Convert to fraction form
    46,656.57/70,005.53 = 24,464.67/x
  3. Step 3: Cross multiply
    46,656.57x = 70,005.53 × 24,464.67
  4. Step 4: Simplify right side
    46,656.57x = 1,712,662,189.63
  5. Step 5: Solve for x
    x = 1,712,662,189.63/46,656.57
  6. Step 6: Final answer
    x = 36,707.85

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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.