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Finding the Fourth Proportional to 46,897, 70,345.50 and 14,065

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Solution

The fourth proportional to 46,897, 70,345.50 and 14,065 is: 21,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,897 : 70,345.50 = 14,065 : x
  2. Step 2: Convert to fraction form
    46,897/70,345.50 = 14,065/x
  3. Step 3: Cross multiply
    46,897x = 70,345.50 × 14,065
  4. Step 4: Simplify right side
    46,897x = 989,409,457.50
  5. Step 5: Solve for x
    x = 989,409,457.50/46,897
  6. Step 6: Final answer
    x = 21,097.50

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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.