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Finding the Fourth Proportional to 97,730.52, 134,804.32 and 61,883.16

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Solution

The fourth proportional to 97,730.52, 134,804.32 and 61,883.16 is: 85,358.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,730.52 : 134,804.32 = 61,883.16 : x
  2. Step 2: Convert to fraction form
    97,730.52/134,804.32 = 61,883.16/x
  3. Step 3: Cross multiply
    97,730.52x = 134,804.32 × 61,883.16
  4. Step 4: Simplify right side
    97,730.52x = 8,342,117,303.25
  5. Step 5: Solve for x
    x = 8,342,117,303.25/97,730.52
  6. Step 6: Final answer
    x = 85,358.36

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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.