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Finding the Fourth Proportional to 46,693.65, 64,458.11 and 31,632.06

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Solution

The fourth proportional to 46,693.65, 64,458.11 and 31,632.06 is: 43,666.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,693.65 : 64,458.11 = 31,632.06 : x
  2. Step 2: Convert to fraction form
    46,693.65/64,458.11 = 31,632.06/x
  3. Step 3: Cross multiply
    46,693.65x = 64,458.11 × 31,632.06
  4. Step 4: Simplify right side
    46,693.65x = 2,038,942,803.01
  5. Step 5: Solve for x
    x = 2,038,942,803.01/46,693.65
  6. Step 6: Final answer
    x = 43,666.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.