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Finding the Fourth Proportional to 97,610, 134,701.89 and 52,898

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Solution

The fourth proportional to 97,610, 134,701.89 and 52,898 is: 72,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,610 : 134,701.89 = 52,898 : x
  2. Step 2: Convert to fraction form
    97,610/134,701.89 = 52,898/x
  3. Step 3: Cross multiply
    97,610x = 134,701.89 × 52,898
  4. Step 4: Simplify right side
    97,610x = 7,125,460,577.22
  5. Step 5: Solve for x
    x = 7,125,460,577.22/97,610
  6. Step 6: Final answer
    x = 72,999.29

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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.