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Finding the Fourth Proportional to 84,761.52, 116,973.32 and 47,038.20

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Solution

The fourth proportional to 84,761.52, 116,973.32 and 47,038.20 is: 64,914.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,761.52 : 116,973.32 = 47,038.20 : x
  2. Step 2: Convert to fraction form
    84,761.52/116,973.32 = 47,038.20/x
  3. Step 3: Cross multiply
    84,761.52x = 116,973.32 × 47,038.20
  4. Step 4: Simplify right side
    84,761.52x = 5,502,214,420.82
  5. Step 5: Solve for x
    x = 5,502,214,420.82/84,761.52
  6. Step 6: Final answer
    x = 64,914.06

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1.5x scale

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.