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Finding the Fourth Proportional to 32,089.91, 48,130.41 and 9,904.01

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Solution

The fourth proportional to 32,089.91, 48,130.41 and 9,904.01 is: 14,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,089.91 : 48,130.41 = 9,904.01 : x
  2. Step 2: Convert to fraction form
    32,089.91/48,130.41 = 9,904.01/x
  3. Step 3: Cross multiply
    32,089.91x = 48,130.41 × 9,904.01
  4. Step 4: Simplify right side
    32,089.91x = 476,684,061.94
  5. Step 5: Solve for x
    x = 476,684,061.94/32,089.91
  6. Step 6: Final answer
    x = 14,854.64

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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.