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Finding the Fourth Proportional to 102,349.14, 153,547.08 and 31,281.90

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Solution

The fourth proportional to 102,349.14, 153,547.08 and 31,281.90 is: 46,929.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,349.14 : 153,547.08 = 31,281.90 : x
  2. Step 2: Convert to fraction form
    102,349.14/153,547.08 = 31,281.90/x
  3. Step 3: Cross multiply
    102,349.14x = 153,547.08 × 31,281.90
  4. Step 4: Simplify right side
    102,349.14x = 4,803,244,401.85
  5. Step 5: Solve for x
    x = 4,803,244,401.85/102,349.14
  6. Step 6: Final answer
    x = 46,929.99

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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.