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Finding the Fourth Proportional to 46,567.98, 64,188.90 and 31,455.90

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Solution

The fourth proportional to 46,567.98, 64,188.90 and 31,455.90 is: 43,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,567.98 : 64,188.90 = 31,455.90 : x
  2. Step 2: Convert to fraction form
    46,567.98/64,188.90 = 31,455.90/x
  3. Step 3: Cross multiply
    46,567.98x = 64,188.90 × 31,455.90
  4. Step 4: Simplify right side
    46,567.98x = 2,019,119,619.51
  5. Step 5: Solve for x
    x = 2,019,119,619.51/46,567.98
  6. Step 6: Final answer
    x = 43,358.54

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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.