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Finding the Fourth Proportional to 32,210.64, 48,272.40 and 14,429.52

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Solution

The fourth proportional to 32,210.64, 48,272.40 and 14,429.52 is: 21,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,210.64 : 48,272.40 = 14,429.52 : x
  2. Step 2: Convert to fraction form
    32,210.64/48,272.40 = 14,429.52/x
  3. Step 3: Cross multiply
    32,210.64x = 48,272.40 × 14,429.52
  4. Step 4: Simplify right side
    32,210.64x = 696,547,561.25
  5. Step 5: Solve for x
    x = 696,547,561.25/32,210.64
  6. Step 6: Final answer
    x = 21,624.77

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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.