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Finding the Fourth Proportional to 83,130, 114,719.40 and 45,404.34

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Solution

The fourth proportional to 83,130, 114,719.40 and 45,404.34 is: 62,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130 : 114,719.40 = 45,404.34 : x
  2. Step 2: Convert to fraction form
    83,130/114,719.40 = 45,404.34/x
  3. Step 3: Cross multiply
    83,130x = 114,719.40 × 45,404.34
  4. Step 4: Simplify right side
    83,130x = 5,208,758,642.20
  5. Step 5: Solve for x
    x = 5,208,758,642.20/83,130
  6. Step 6: Final answer
    x = 62,657.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.