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Finding the Fourth Proportional to 60,610, 83,642.16 and 34,114

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Solution

The fourth proportional to 60,610, 83,642.16 and 34,114 is: 47,077.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,610 : 83,642.16 = 34,114 : x
  2. Step 2: Convert to fraction form
    60,610/83,642.16 = 34,114/x
  3. Step 3: Cross multiply
    60,610x = 83,642.16 × 34,114
  4. Step 4: Simplify right side
    60,610x = 2,853,368,646.24
  5. Step 5: Solve for x
    x = 2,853,368,646.24/60,610
  6. Step 6: Final answer
    x = 47,077.52

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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.