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Finding the Fourth Proportional to 85,038.84, 117,346.14 and 47,315.16

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Solution

The fourth proportional to 85,038.84, 117,346.14 and 47,315.16 is: 65,290.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,038.84 : 117,346.14 = 47,315.16 : x
  2. Step 2: Convert to fraction form
    85,038.84/117,346.14 = 47,315.16/x
  3. Step 3: Cross multiply
    85,038.84x = 117,346.14 × 47,315.16
  4. Step 4: Simplify right side
    85,038.84x = 5,552,251,389.48
  5. Step 5: Solve for x
    x = 5,552,251,389.48/85,038.84
  6. Step 6: Final answer
    x = 65,290.77

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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.