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Finding the Fourth Proportional to 98,565, 147,870.90 and 32,005.32

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Solution

The fourth proportional to 98,565, 147,870.90 and 32,005.32 is: 48,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,565 : 147,870.90 = 32,005.32 : x
  2. Step 2: Convert to fraction form
    98,565/147,870.90 = 32,005.32/x
  3. Step 3: Cross multiply
    98,565x = 147,870.90 × 32,005.32
  4. Step 4: Simplify right side
    98,565x = 4,732,655,473.19
  5. Step 5: Solve for x
    x = 4,732,655,473.19/98,565
  6. Step 6: Final answer
    x = 48,015.58

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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.