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Finding the Fourth Proportional to 32,501.06, 48,758.88 and 10,315.16

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Solution

The fourth proportional to 32,501.06, 48,758.88 and 10,315.16 is: 15,475.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.06 : 48,758.88 = 10,315.16 : x
  2. Step 2: Convert to fraction form
    32,501.06/48,758.88 = 10,315.16/x
  3. Step 3: Cross multiply
    32,501.06x = 48,758.88 × 10,315.16
  4. Step 4: Simplify right side
    32,501.06x = 502,955,648.62
  5. Step 5: Solve for x
    x = 502,955,648.62/32,501.06
  6. Step 6: Final answer
    x = 15,475.05

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