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Finding the Fourth Proportional to 70,981.60, 106,342.80 and 57,762.40

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Solution

The fourth proportional to 70,981.60, 106,342.80 and 57,762.40 is: 86,538.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,981.60 : 106,342.80 = 57,762.40 : x
  2. Step 2: Convert to fraction form
    70,981.60/106,342.80 = 57,762.40/x
  3. Step 3: Cross multiply
    70,981.60x = 106,342.80 × 57,762.40
  4. Step 4: Simplify right side
    70,981.60x = 6,142,615,350.72
  5. Step 5: Solve for x
    x = 6,142,615,350.72/70,981.60
  6. Step 6: Final answer
    x = 86,538.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.