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Finding the Fourth Proportional to 32,495.95, 44,820.40 and 20,547.78

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Solution

The fourth proportional to 32,495.95, 44,820.40 and 20,547.78 is: 28,340.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,495.95 : 44,820.40 = 20,547.78 : x
  2. Step 2: Convert to fraction form
    32,495.95/44,820.40 = 20,547.78/x
  3. Step 3: Cross multiply
    32,495.95x = 44,820.40 × 20,547.78
  4. Step 4: Simplify right side
    32,495.95x = 920,959,718.71
  5. Step 5: Solve for x
    x = 920,959,718.71/32,495.95
  6. Step 6: Final answer
    x = 28,340.75

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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.