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Finding the Fourth Proportional to 97,812.47, 134,981.77 and 57,527.93

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Solution

The fourth proportional to 97,812.47, 134,981.77 and 57,527.93 is: 79,388.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,812.47 : 134,981.77 = 57,527.93 : x
  2. Step 2: Convert to fraction form
    97,812.47/134,981.77 = 57,527.93/x
  3. Step 3: Cross multiply
    97,812.47x = 134,981.77 × 57,527.93
  4. Step 4: Simplify right side
    97,812.47x = 7,765,221,815.84
  5. Step 5: Solve for x
    x = 7,765,221,815.84/97,812.47
  6. Step 6: Final answer
    x = 79,388.87

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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.