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Finding the Fourth Proportional to 76,463.48, 105,527.93 and 46,265.47

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Solution

The fourth proportional to 76,463.48, 105,527.93 and 46,265.47 is: 63,851.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,463.48 : 105,527.93 = 46,265.47 : x
  2. Step 2: Convert to fraction form
    76,463.48/105,527.93 = 46,265.47/x
  3. Step 3: Cross multiply
    76,463.48x = 105,527.93 × 46,265.47
  4. Step 4: Simplify right side
    76,463.48x = 4,882,298,784.43
  5. Step 5: Solve for x
    x = 4,882,298,784.43/76,463.48
  6. Step 6: Final answer
    x = 63,851.38

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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.