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Finding the Fourth Proportional to 77,598.50, 116,395.40 and 21,442.01

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Solution

The fourth proportional to 77,598.50, 116,395.40 and 21,442.01 is: 32,162.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,598.50 : 116,395.40 = 21,442.01 : x
  2. Step 2: Convert to fraction form
    77,598.50/116,395.40 = 21,442.01/x
  3. Step 3: Cross multiply
    77,598.50x = 116,395.40 × 21,442.01
  4. Step 4: Simplify right side
    77,598.50x = 2,495,750,641.57
  5. Step 5: Solve for x
    x = 2,495,750,641.57/77,598.50
  6. Step 6: Final answer
    x = 32,162.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.