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Finding the Fourth Proportional to 66,460.59, 99,585.11 and 46,507.86

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Solution

The fourth proportional to 66,460.59, 99,585.11 and 46,507.86 is: 69,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,460.59 : 99,585.11 = 46,507.86 : x
  2. Step 2: Convert to fraction form
    66,460.59/99,585.11 = 46,507.86/x
  3. Step 3: Cross multiply
    66,460.59x = 99,585.11 × 46,507.86
  4. Step 4: Simplify right side
    66,460.59x = 4,631,490,470.23
  5. Step 5: Solve for x
    x = 4,631,490,470.23/66,460.59
  6. Step 6: Final answer
    x = 69,687.77

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Why These Related Problems?

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