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Finding the Fourth Proportional to 84,259.63, 116,330.88 and 53,650

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Solution

The fourth proportional to 84,259.63, 116,330.88 and 53,650 is: 74,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,259.63 : 116,330.88 = 53,650 : x
  2. Step 2: Convert to fraction form
    84,259.63/116,330.88 = 53,650/x
  3. Step 3: Cross multiply
    84,259.63x = 116,330.88 × 53,650
  4. Step 4: Simplify right side
    84,259.63x = 6,241,151,712
  5. Step 5: Solve for x
    x = 6,241,151,712/84,259.63
  6. Step 6: Final answer
    x = 74,070.49

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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.