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Finding the Fourth Proportional to 84,570.30, 116,706.98 and 46,332.28

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Solution

The fourth proportional to 84,570.30, 116,706.98 and 46,332.28 is: 63,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,570.30 : 116,706.98 = 46,332.28 : x
  2. Step 2: Convert to fraction form
    84,570.30/116,706.98 = 46,332.28/x
  3. Step 3: Cross multiply
    84,570.30x = 116,706.98 × 46,332.28
  4. Step 4: Simplify right side
    84,570.30x = 5,407,300,148.17
  5. Step 5: Solve for x
    x = 5,407,300,148.17/84,570.30
  6. Step 6: Final answer
    x = 63,938.52

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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.