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Finding the Fourth Proportional to 97,892.76, 146,848.86 and 31,316.16

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Solution

The fourth proportional to 97,892.76, 146,848.86 and 31,316.16 is: 46,977.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,892.76 : 146,848.86 = 31,316.16 : x
  2. Step 2: Convert to fraction form
    97,892.76/146,848.86 = 31,316.16/x
  3. Step 3: Cross multiply
    97,892.76x = 146,848.86 × 31,316.16
  4. Step 4: Simplify right side
    97,892.76x = 4,598,742,395.58
  5. Step 5: Solve for x
    x = 4,598,742,395.58/97,892.76
  6. Step 6: Final answer
    x = 46,977.35

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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.