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Finding the Fourth Proportional to 84,752, 116,957.76 and 47,032.32

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Solution

The fourth proportional to 84,752, 116,957.76 and 47,032.32 is: 64,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,752 : 116,957.76 = 47,032.32 : x
  2. Step 2: Convert to fraction form
    84,752/116,957.76 = 47,032.32/x
  3. Step 3: Cross multiply
    84,752x = 116,957.76 × 47,032.32
  4. Step 4: Simplify right side
    84,752x = 5,500,794,794.80
  5. Step 5: Solve for x
    x = 5,500,794,794.80/84,752
  6. Step 6: Final answer
    x = 64,904.60

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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.