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Finding the Fourth Proportional to 76,762.79, 105,842.14 and 52,575.48

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Solution

The fourth proportional to 76,762.79, 105,842.14 and 52,575.48 is: 72,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,762.79 : 105,842.14 = 52,575.48 : x
  2. Step 2: Convert to fraction form
    76,762.79/105,842.14 = 52,575.48/x
  3. Step 3: Cross multiply
    76,762.79x = 105,842.14 × 52,575.48
  4. Step 4: Simplify right side
    76,762.79x = 5,564,701,479.03
  5. Step 5: Solve for x
    x = 5,564,701,479.03/76,762.79
  6. Step 6: Final answer
    x = 72,492.17

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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.