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Finding the Fourth Proportional to 32,570.16, 48,856.08 and 8,877.90

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Solution

The fourth proportional to 32,570.16, 48,856.08 and 8,877.90 is: 13,317.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,570.16 : 48,856.08 = 8,877.90 : x
  2. Step 2: Convert to fraction form
    32,570.16/48,856.08 = 8,877.90/x
  3. Step 3: Cross multiply
    32,570.16x = 48,856.08 × 8,877.90
  4. Step 4: Simplify right side
    32,570.16x = 433,739,392.63
  5. Step 5: Solve for x
    x = 433,739,392.63/32,570.16
  6. Step 6: Final answer
    x = 13,317.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.