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Finding the Fourth Proportional to 82,312.32, 113,590.80 and 44,587.20

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Solution

The fourth proportional to 82,312.32, 113,590.80 and 44,587.20 is: 61,530.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,312.32 : 113,590.80 = 44,587.20 : x
  2. Step 2: Convert to fraction form
    82,312.32/113,590.80 = 44,587.20/x
  3. Step 3: Cross multiply
    82,312.32x = 113,590.80 × 44,587.20
  4. Step 4: Simplify right side
    82,312.32x = 5,064,695,717.76
  5. Step 5: Solve for x
    x = 5,064,695,717.76/82,312.32
  6. Step 6: Final answer
    x = 61,530.23

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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.