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Finding the Fourth Proportional to 76,613.28, 105,693.84 and 46,788

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Solution

The fourth proportional to 76,613.28, 105,693.84 and 46,788 is: 64,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,613.28 : 105,693.84 = 46,788 : x
  2. Step 2: Convert to fraction form
    76,613.28/105,693.84 = 46,788/x
  3. Step 3: Cross multiply
    76,613.28x = 105,693.84 × 46,788
  4. Step 4: Simplify right side
    76,613.28x = 4,945,203,385.92
  5. Step 5: Solve for x
    x = 4,945,203,385.92/76,613.28
  6. Step 6: Final answer
    x = 64,547.60

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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.