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Finding the Fourth Proportional to 32,547.88, 48,803.58 and 10,357.16

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Solution

The fourth proportional to 32,547.88, 48,803.58 and 10,357.16 is: 15,529.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,547.88 : 48,803.58 = 10,357.16 : x
  2. Step 2: Convert to fraction form
    32,547.88/48,803.58 = 10,357.16/x
  3. Step 3: Cross multiply
    32,547.88x = 48,803.58 × 10,357.16
  4. Step 4: Simplify right side
    32,547.88x = 505,466,486.63
  5. Step 5: Solve for x
    x = 505,466,486.63/32,547.88
  6. Step 6: Final answer
    x = 15,529.94

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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.