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Finding the Fourth Proportional to 32,370.64, 48,547.68 and 11,594.32

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Solution

The fourth proportional to 32,370.64, 48,547.68 and 11,594.32 is: 17,388.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,370.64 : 48,547.68 = 11,594.32 : x
  2. Step 2: Convert to fraction form
    32,370.64/48,547.68 = 11,594.32/x
  3. Step 3: Cross multiply
    32,370.64x = 48,547.68 × 11,594.32
  4. Step 4: Simplify right side
    32,370.64x = 562,877,337.18
  5. Step 5: Solve for x
    x = 562,877,337.18/32,370.64
  6. Step 6: Final answer
    x = 17,388.51

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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.