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Finding the Fourth Proportional to 71,464.12, 98,575.50 and 46,312

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Solution

The fourth proportional to 71,464.12, 98,575.50 and 46,312 is: 63,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464.12 : 98,575.50 = 46,312 : x
  2. Step 2: Convert to fraction form
    71,464.12/98,575.50 = 46,312/x
  3. Step 3: Cross multiply
    71,464.12x = 98,575.50 × 46,312
  4. Step 4: Simplify right side
    71,464.12x = 4,565,228,556
  5. Step 5: Solve for x
    x = 4,565,228,556/71,464.12
  6. Step 6: Final answer
    x = 63,881.41

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