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Finding the Fourth Proportional to 82,337.60, 113,647.60 and 56,848.16

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Solution

The fourth proportional to 82,337.60, 113,647.60 and 56,848.16 is: 78,465.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,337.60 : 113,647.60 = 56,848.16 : x
  2. Step 2: Convert to fraction form
    82,337.60/113,647.60 = 56,848.16/x
  3. Step 3: Cross multiply
    82,337.60x = 113,647.60 × 56,848.16
  4. Step 4: Simplify right side
    82,337.60x = 6,460,656,948.42
  5. Step 5: Solve for x
    x = 6,460,656,948.42/82,337.60
  6. Step 6: Final answer
    x = 78,465.45

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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.